y(2y-8)9(2Y+6)=0

Solution for y(2y-8)9(2Y+6)=0 equation:

Simplifying
y(2y + -8) * 9(2Y + 6) = 0

Reorder the terms:
y(-8 + 2y) * 9(2Y + 6) = 0

Reorder the terms:
y(-8 + 2y) * 9(6 + 2Y) = 0

Reorder the terms for easier multiplication:
9y(-8 + 2y)(6 + 2Y) = 0

Multiply (-8 + 2y) * (6 + 2Y)
9y(-8(6 + 2Y) + 2y * (6 + 2Y)) = 0
9y((6 * -8 + 2Y * -8) + 2y * (6 + 2Y)) = 0
9y((-48 + -16Y) + 2y * (6 + 2Y)) = 0
9y(-48 + -16Y + (6 * 2y + 2Y * 2y)) = 0
9y(-48 + -16Y + (12y + 4yY)) = 0
9y(-48 + -16Y + 12y + 4yY) = 0
(-48 * 9y + -16Y * 9y + 12y * 9y + 4yY * 9y) = 0
(-432y + -144yY + 108y2 + 36y2Y) = 0

Solving
-432y + -144yY + 108y2 + 36y2Y = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '36y'.
36y(-12 + -4Y + 3y + yY) = 0

Ignore the factor 36.
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 '(-12 + -4Y + 3y + yY)' equal to zero and attempt to solve:

Simplifying
-12 + -4Y + 3y + yY = 0

Solving
-12 + -4Y + 3y + yY = 0

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

Add '12' to each side of the equation.
-12 + -4Y + 3y + 12 + yY = 0 + 12

Reorder the terms:
-12 + 12 + -4Y + 3y + yY = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -4Y + 3y + yY = 0 + 12
-4Y + 3y + yY = 0 + 12

Combine like terms: 0 + 12 = 12
-4Y + 3y + yY = 12

Add '4Y' to each side of the equation.
-4Y + 3y + 4Y + yY = 12 + 4Y

Reorder the terms:
-4Y + 4Y + 3y + yY = 12 + 4Y

Combine like terms: -4Y + 4Y = 0
0 + 3y + yY = 12 + 4Y
3y + yY = 12 + 4Y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}