(12y+6)(y-5)=

Solution for (12y+6)(y-5)= equation:

Simplifying
(12y + 6)(y + -5) = 0

Reorder the terms:
(6 + 12y)(y + -5) = 0

Reorder the terms:
(6 + 12y)(-5 + y) = 0

Multiply (6 + 12y) * (-5 + y)
(6(-5 + y) + 12y * (-5 + y)) = 0
((-5 * 6 + y * 6) + 12y * (-5 + y)) = 0
((-30 + 6y) + 12y * (-5 + y)) = 0
(-30 + 6y + (-5 * 12y + y * 12y)) = 0
(-30 + 6y + (-60y + 12y2)) = 0

Combine like terms: 6y + -60y = -54y
(-30 + -54y + 12y2) = 0

Solving
-30 + -54y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-5 + -9y + 2y2) = 0

Factor a trinomial.
6((-1 + -2y)(5 + -1y)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + -2y)' equal to zero and attempt to solve:

Simplifying
-1 + -2y = 0

Solving
-1 + -2y = 0

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

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

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

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

Divide each side by '-2'.
y = -0.5

Simplifying
y = -0.5
Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 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 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {-0.5, 5}