(6y+8)(9y+6)=

Solution for (6y+8)(9y+6)= equation:

Simplifying
(6y + 8)(9y + 6) = 0

Reorder the terms:
(8 + 6y)(9y + 6) = 0

Reorder the terms:
(8 + 6y)(6 + 9y) = 0

Multiply (8 + 6y) * (6 + 9y)
(8(6 + 9y) + 6y * (6 + 9y)) = 0
((6 * 8 + 9y * 8) + 6y * (6 + 9y)) = 0
((48 + 72y) + 6y * (6 + 9y)) = 0
(48 + 72y + (6 * 6y + 9y * 6y)) = 0
(48 + 72y + (36y + 54y2)) = 0

Combine like terms: 72y + 36y = 108y
(48 + 108y + 54y2) = 0

Solving
48 + 108y + 54y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6'.
6(8 + 18y + 9y2) = 0

Factor a trinomial.
6((4 + 3y)(2 + 3y)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(4 + 3y)' equal to zero and attempt to solve:

Simplifying
4 + 3y = 0

Solving
4 + 3y = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = 0 + -4
3y = 0 + -4

Combine like terms: 0 + -4 = -4
3y = -4

Divide each side by '3'.
y = -1.333333333

Simplifying
y = -1.333333333
Subproblem 2
Set the factor '(2 + 3y)' equal to zero and attempt to solve:

Simplifying
2 + 3y = 0

Solving
2 + 3y = 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 + 3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 0 + -2
3y = 0 + -2

Combine like terms: 0 + -2 = -2
3y = -2

Divide each side by '3'.
y = -0.6666666667

Simplifying
y = -0.6666666667
Solution
y = {-1.333333333, -0.6666666667}