9(5y-4)12y=

Solution for 9(5y-4)12y= equation:

Simplifying
9(5y + -4) * 12y = 0

Reorder the terms:
9(-4 + 5y) * 12y = 0

Reorder the terms for easier multiplication:
9 * 12y(-4 + 5y) = 0

Multiply 9 * 12
108y(-4 + 5y) = 0
(-4 * 108y + 5y * 108y) = 0
(-432y + 540y2) = 0

Solving
-432y + 540y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '108y'.
108y(-4 + 5y) = 0

Ignore the factor 108.
Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(-4 + 5y)' equal to zero and attempt to solve:

Simplifying
-4 + 5y = 0

Solving
-4 + 5y = 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 + 5y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5y = 0 + 4
5y = 0 + 4

Combine like terms: 0 + 4 = 4
5y = 4

Divide each side by '5'.
y = 0.8

Simplifying
y = 0.8
Solution
y = {0, 0.8}