x=((x-4)x(x+4))

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


Simplifying
x = ((x + -4) * x(x + 4))

Reorder the terms:
x = ((-4 + x) * x(x + 4))

Reorder the terms:
x = ((-4 + x) * x(4 + x))

Reorder the terms for easier multiplication:
x = (x(-4 + x)(4 + x))

Multiply (-4 + x) * (4 + x)
x = (x(-4(4 + x) + x(4 + x)))
x = (x((4 * -4 + x * -4) + x(4 + x)))
x = (x((-16 + -4x) + x(4 + x)))
x = (x(-16 + -4x + (4 * x + x * x)))
x = (x(-16 + -4x + (4x + x2)))

Combine like terms: -4x + 4x = 0
x = (x(-16 + 0 + x2))
x = (x(-16 + x2))
x = ((-16 * x + x2 * x))
x = ((-16x + x3))
x = (-16x + x3)

Remove parenthesis around (-16x + x3)
x = -16x + x3

Solving
x = -16x + x3

Solving for variable 'x'.

Combine like terms: x + 16x = 17x
17x + -1x3 = -16x + x3 + 16x + -1x3

Reorder the terms:
17x + -1x3 = -16x + 16x + x3 + -1x3

Combine like terms: -16x + 16x = 0
17x + -1x3 = 0 + x3 + -1x3
17x + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
17x + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(17 + -1x2) = 0


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 '(17 + -1x2)' equal to zero and attempt to solve:

Simplifying
17 + -1x2 = 0

Solving
17 + -1x2 = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x2 = 0 + -17
-1x2 = 0 + -17

Combine like terms: 0 + -17 = -17
-1x2 = -17

Divide each side by '-1'.
x2 = 17

Simplifying
x2 = 17

Take the square root of each side:
x = {-4.123105626, 4.123105626}
Solution
x = {0, -4.123105626, 4.123105626}

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