another one that I need to solve for X?

Question

(x + 8)(x - 3) = 2x - 14 could you show me the process used in solving this problem

Answer 1

First, you try to simplify as much as possible. That means, on the left side, you would want to multiply out. This would give you:

x^2 + 5x - 24 = 2x - 14.

Now, we see it is a quadratic because the highest degree is 2. We move everything on the left side so that the right side equals 0 and the quadratic is in standard form:

x^2 + 3x - 10 = 0

Now, we try to factor, and luckily, we can:

(x + 5)(x - 2) = 0

and x = -5 and 2.

If you need help in factoring, feel free to message me.

Answer 2

the answer is x = 2, -5

solution:
(x + 8)(x - 3) = 2x - 14
==> x^2 +8x - 3x - 24 = 2x - 14
==> x^2 +5x - 24 = 2x - 14
==> x^2 +3x -24 = -14
==> x^2 + 3x - 10 = 0
i need to know two numbers which when added would give +3 and when multiplied would give -10.. the numbers are -2 and +5
==>x^2 + 5x - 2x - 10 = 0
==> x(x +5)-2(x+5) = 0
==> (x - 2)(x+5) = 0
==> x = 2, -5

Answer 3

Sorry for my poor English:
(x + 8)(x - 3) = 2x - 14
First remove the brackets on the left part:
x^2 + 5x -24 = 2x - 14
Then bring everything to the left:
x^2 + 3x -10 = 0
Don't know the English word for this step:
(x-2)(x+5) = 0
So x=2 or x=-5
(2+8)(2-3) = -10 = 2*3 - 14
(-5+8)(-5-3) = -24 = 2*-5 - 14

Answer 4

move everything to the left side and set it to 0:

(x + 8)(x - 3) = 2x - 14.
x^2 + 5x - 24 - 2x + 14 = 0
x^2 + 3x - 10 = 0; so x^2 + 3/2x = 10
x^2 + 3/2x + 9/4 = 10 + 9/4 or 49/4
multiply 3x by 1/2
square the result to discover third term
(x + 3/2)^2 = 49/4
x + 3 = plus or minus 7/2
x = -3 plus or minus 7/2
x = 1/2 and x = - 6 1/2

Answer 5

okay simplify: First side, use FOIL (First, Outer, Inner, Last)

x * x (first) x * -3 (outer) +8 * x (inner) +8 * x (last) getting:

x^2 -3x +8x -24 = 2x - 14 simplify more by combining like terms:

x^2 +5x -24 = 2x - 14

(now subtract 2x from each side and add 14 to each side)

x^2 +5x -2x -24 +14 = 2x -2x +14 - 14

x^2 +3x - 10 = 0

Now, factoring: (opposite of FOIL)

(x + 5)(x - 2) = 0 therefore:

x = -5, +2


Hope that helps.

Answer 6

you have to use the F.O.I.L method
the F stands for Front
the O stands for Outside
the I stands for Inner
the L stands for Last
(x+8)(x-3)=2x-14
Xsquared-24+8x-3x
then you would combine like terms NOTE:if the variable is squared and the other variable isn't then the varibles can NOT be combined. variables are to be put first in the equation
Xsquared+5x-24=2x-14
-2x -2x -to get the variables one side and
numbers on the other
Xsquared+3x-24=-14
+24 +24 - add 24 to get the # 24 on the oppsite
of the variables
Xsquared+3x=10- to get rid of the Xsquared you have to divide it
in half which is X by itself and 10 is 20
x+3x=10-combine like terms(simlify the equation)
4x=20- the you solve for x which is 5,6



After you get the hang of it, It will become much easier

Answer 7

Expand the brackets. Simplify the left side. Move the right side over to the left. Simplify again. It becomes a polynomial that you can solve easily.

x^2 + 3x - 10 = 0

(x + 5)(x - 2) = 0

x = -5 or x = 2

Answer 8

Expand (x+8)(x-3). Move all terms to the left side of the equation (by adding and subtracting the same quantity from both sides). Combine like terms. The result is a quadratic equation. Solve by using the quadratic formula.

Answer 9

(x + 8)(x - 3) = 2x - 14
x^2 - 3x + 8x - 24 = 2x - 14
x^2 + 5x - 24 = 2x - 14
x^2 + 3x - 10 = 0
(x + 5)(x - 2) = 0

x = -5 or 2

Answer 10

first foil the brackets: x2(x squared)-3x+8x-24=2x-14
bring everything to one side: x2-3x+8x-2x-24+14=0
then collect like terms: x2+3x-10=0
then factor it: (x+5) (x-2)

X= -5 X=2

welll atleast i think that's how u do it!!!
i can't actuallly remember:(