20x(x+16)(x-16)=0

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Solution for 20x(x+16)(x-16)=0 equation: 


Simplifying
20x(x + 16)(x + -16) = 0

Reorder the terms:
20x(16 + x)(x + -16) = 0

Reorder the terms:
20x(16 + x)(-16 + x) = 0

Multiply (16 + x) * (-16 + x)
20x(16(-16 + x) + x(-16 + x)) = 0
20x((-16 * 16 + x * 16) + x(-16 + x)) = 0
20x((-256 + 16x) + x(-16 + x)) = 0
20x(-256 + 16x + (-16 * x + x * x)) = 0
20x(-256 + 16x + (-16x + x2)) = 0

Combine like terms: 16x + -16x = 0
20x(-256 + 0 + x2) = 0
20x(-256 + x2) = 0
(-256 * 20x + x2 * 20x) = 0
(-5120x + 20x3) = 0

Solving
-5120x + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20x'.
20x(-256 + x2) = 0

Factor a difference between two squares.
20x((16 + x)(-16 + x)) = 0

Ignore the factor 20.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16

Subproblem 3
Set the factor '(-16 + x)' equal to zero and attempt to solve:

Simplifying
-16 + x = 0

Solving
-16 + x = 0

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

Add '16' to each side of the equation.
-16 + 16 + x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + x = 0 + 16
x = 0 + 16

Combine like terms: 0 + 16 = 16
x = 16

Simplifying
x = 16
Solution
x = {0, -16, 16}

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