6(9y-5)(4+8y)=0

Solution for 6(9y-5)(4+8y)=0 equation:

Simplifying
6(9y + -5)(4 + 8y) = 0

Reorder the terms:
6(-5 + 9y)(4 + 8y) = 0

Multiply (-5 + 9y) * (4 + 8y)
6(-5(4 + 8y) + 9y * (4 + 8y)) = 0
6((4 * -5 + 8y * -5) + 9y * (4 + 8y)) = 0
6((-20 + -40y) + 9y * (4 + 8y)) = 0
6(-20 + -40y + (4 * 9y + 8y * 9y)) = 0
6(-20 + -40y + (36y + 72y2)) = 0

Combine like terms: -40y + 36y = -4y
6(-20 + -4y + 72y2) = 0
(-20 * 6 + -4y * 6 + 72y2 * 6) = 0
(-120 + -24y + 432y2) = 0

Solving
-120 + -24y + 432y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '24'.
24(-5 + -1y + 18y2) = 0

Factor a trinomial.
24((-1 + -2y)(5 + -9y)) = 0

Ignore the factor 24.
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 + -9y)' equal to zero and attempt to solve:

Simplifying
5 + -9y = 0

Solving
5 + -9y = 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 + -9y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9y = 0 + -5
-9y = 0 + -5

Combine like terms: 0 + -5 = -5
-9y = -5

Divide each side by '-9'.
y = 0.5555555556

Simplifying
y = 0.5555555556
Solution
y = {-0.5, 0.5555555556}