Solve: 3y^2 - y - 10 = 0?

Answer 1

Factor as follows:
(3y + 5)(y - 2) = 0

Therefore:
3y + 5 = 0
or
y - 2 = 0

y = -5/3
or
y = 2

Answer 2

Do by factoring,
3y^2 - y - 10 = (3y+5)(y-2) = 0
Solving 3y+5 = 0 and y-2 = 0 gives,
y = -5/3, 2

Answer 3

Simplifying
3y^2 + -1y + -10 = 0

Reorder the terms:
-10 + -1y + 3y^2 = 0

Solving
-10 + -1y + 3y^2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -3y)(2 + -1y) = 0

Subproblem 1
Set the factor '(-5 + -3y)' equal to zero and attempt to solve:

Simplifying
-5 + -3y = 0

Solving
-5 + -3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -3y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3y = 0 + 5
-3y = 0 + 5

Combine like terms: 0 + 5 = 5
-3y = 5

Divide each side by '-3'.
y = -1.666666667

Simplifying
y = -1.666666667
Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {-1.666666667, 2}

Answer 4

Factor it:

(3Y+5)(Y-2) = 0

For that to be true, either 3y+5 = 0 or y-2 = 0. You can solve those two pretty easily, I think.

Answer 5

(3y + 5) (y - 2) = 0

Answer 6

y(3y-1)=10

Answer 7

y=2

3(2^2)-2-10=0

3(4)-2-10=0
12-2-10=0 ??
YES


the people who are showing you the factoring method are more correct than I am :)


Therefore y=2

Answer 8

(3y-5)(y+2)=0
y=-5/3,or
y=2