4y(y+4)(y-4)=

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


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

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

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

Multiply (4 + y) * (-4 + y)
4y(4(-4 + y) + y(-4 + y)) = 0
4y((-4 * 4 + y * 4) + y(-4 + y)) = 0
4y((-16 + 4y) + y(-4 + y)) = 0
4y(-16 + 4y + (-4 * y + y * y)) = 0
4y(-16 + 4y + (-4y + y2)) = 0

Combine like terms: 4y + -4y = 0
4y(-16 + 0 + y2) = 0
4y(-16 + y2) = 0
(-16 * 4y + y2 * 4y) = 0
(-64y + 4y3) = 0

Solving
-64y + 4y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(-16 + y2) = 0

Factor a difference between two squares.
4y((4 + y)(-4 + y)) = 0

Ignore the factor 4.

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 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

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

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

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

Simplifying
y = -4

Subproblem 3
Set the factor '(-4 + y)' equal to zero and attempt to solve:

Simplifying
-4 + y = 0

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

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

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

Simplifying
y = 4
Solution
y = {0, -4, 4}

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