(9y+6)(8y-3)=

Solution for (9y+6)(8y-3)= equation:

Simplifying
(9y + 6)(8y + -3) = 0

Reorder the terms:
(6 + 9y)(8y + -3) = 0

Reorder the terms:
(6 + 9y)(-3 + 8y) = 0

Multiply (6 + 9y) * (-3 + 8y)
(6(-3 + 8y) + 9y * (-3 + 8y)) = 0
((-3 * 6 + 8y * 6) + 9y * (-3 + 8y)) = 0
((-18 + 48y) + 9y * (-3 + 8y)) = 0
(-18 + 48y + (-3 * 9y + 8y * 9y)) = 0
(-18 + 48y + (-27y + 72y2)) = 0

Combine like terms: 48y + -27y = 21y
(-18 + 21y + 72y2) = 0

Solving
-18 + 21y + 72y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + 7y + 24y2) = 0

Factor a trinomial.
3((-2 + -3y)(3 + -8y)) = 0

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + -8y)' equal to zero and attempt to solve:

Simplifying
3 + -8y = 0

Solving
3 + -8y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8y = 0 + -3
-8y = 0 + -3

Combine like terms: 0 + -3 = -3
-8y = -3

Divide each side by '-8'.
y = 0.375

Simplifying
y = 0.375
Solution
y = {-0.6666666667, 0.375}