-6y(y+6)(2y-4)=

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Solution for -6y(y+6)(2y-4)= equation: 


Simplifying
-6y(y + 6)(2y + -4) = 0

Reorder the terms:
-6y(6 + y)(2y + -4) = 0

Reorder the terms:
-6y(6 + y)(-4 + 2y) = 0

Multiply (6 + y) * (-4 + 2y)
-6y(6(-4 + 2y) + y(-4 + 2y)) = 0
-6y((-4 * 6 + 2y * 6) + y(-4 + 2y)) = 0
-6y((-24 + 12y) + y(-4 + 2y)) = 0
-6y(-24 + 12y + (-4 * y + 2y * y)) = 0
-6y(-24 + 12y + (-4y + 2y2)) = 0

Combine like terms: 12y + -4y = 8y
-6y(-24 + 8y + 2y2) = 0
(-24 * -6y + 8y * -6y + 2y2 * -6y) = 0
(144y + -48y2 + -12y3) = 0

Solving
144y + -48y2 + -12y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '12y'.
12y(12 + -4y + -1y2) = 0

Factor a trinomial.
12y((2 + -1y)(6 + y)) = 0

Ignore the factor 12.

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 '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 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 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

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

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y = 0 + -6
y = 0 + -6

Combine like terms: 0 + -6 = -6
y = -6

Simplifying
y = -6
Solution
y = {0, 2, -6}

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