2x(7x+10)=5x(x+1)?

Question

I need to solve the equation and show that the answer checks. Please HELP if you can. Thanks!

Answer 1

2x(7x+10) = 5x(x+1)
14x^2 + 20x = 5x^2 + 5x
9x^2 + 15x = 0
3x(3x + 5) = 0
3x = 0 or 3x + 5 = 0
x = 0 or x = -5/3

Answer 2

2x(7x+10)=5x(x+1)
14x^2 + 20x = 5x^2 + 5x
9x^2 + 15x = 0
x(9x + 15) = 0
x = 0 and x = -15/9 = -5/3

To check the work:
x = 0
2x(7x+10)=5x(x+1)
2(0)(7*0 + 10) = 5(0)(0 + 1)
0(10) = 0(1)
0 = 0 TRUE

x = -5/3
2x(7x+10)=5x(x+1)
2(-5/3)(7 * -5/3 + 10) = 5(-5/3)(-5/3 + 1)
(-10/3)(-35/3 + 10) = (-25/3)(-5/3 + 1)
(-10/3)(-5/3) = (-25/3)(-2/3)
50/9 = 50/9 TRUE

Answer 3

X = 0, or X = -5/3

Answer 4

here is how u solv it->
2x(7x+10) = 5x(x+1)
14x^2 + 20x = 5x^2 + 5x
9x^2 + 15x = 0
3x(3x + 5) = 0
3x = 0 or 3x + 5 = 0
x = 0 or x = -5/3

Answer 5

14x² + 20x = 5x² + 5x
9x² + 15x = 0
3x(3x + 5) = 0
x = 0, x = - 5/3
Check
for x = 0, lhs = rhs
for x = - 5/3:-
lhs = (- 10/3).(- 35/3+ 10)
lhs = (- 10/3).(- 5/3) = 50/9
rhs = (- 25/3).(-2/3) = 50/9
lhs = rhs so answer is correct

Answer 6

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Answer 7

x=0 or x= -5/3

Answer 8

x=4

Answer 9

2x(7x+10)=5x(x+1)
divide both sides by x we get,

2(7x+10)=5(x+1)

open the brackets on both sides

14x+20=5x+5

re arrange the eqn

14x-5x=5-20

9x= - 15

so

x= - 15/9

is the solution

Answer 10

14x^2+20x=5x^2+5x
9x^2+15x=0
3x(3x+5)=0
x=0 or x= -5/3