(x^2-6x-16)x(x+2)=

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Solution for (x^2-6x-16)x(x+2)= equation:


Simplifying
(x2 + -6x + -16) * x(x + 2) = 0

Reorder the terms:
(-16 + -6x + x2) * x(x + 2) = 0

Reorder the terms:
(-16 + -6x + x2) * x(2 + x) = 0

Reorder the terms for easier multiplication:
x(-16 + -6x + x2)(2 + x) = 0

Multiply (-16 + -6x + x2) * (2 + x)
x(-16(2 + x) + -6x * (2 + x) + x2(2 + x)) = 0
x((2 * -16 + x * -16) + -6x * (2 + x) + x2(2 + x)) = 0
x((-32 + -16x) + -6x * (2 + x) + x2(2 + x)) = 0
x(-32 + -16x + (2 * -6x + x * -6x) + x2(2 + x)) = 0
x(-32 + -16x + (-12x + -6x2) + x2(2 + x)) = 0
x(-32 + -16x + -12x + -6x2 + (2 * x2 + x * x2)) = 0
x(-32 + -16x + -12x + -6x2 + (2x2 + x3)) = 0

Combine like terms: -16x + -12x = -28x
x(-32 + -28x + -6x2 + 2x2 + x3) = 0

Combine like terms: -6x2 + 2x2 = -4x2
x(-32 + -28x + -4x2 + x3) = 0
(-32 * x + -28x * x + -4x2 * x + x3 * x) = 0
(-32x + -28x2 + -4x3 + x4) = 0

Solving
-32x + -28x2 + -4x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-32 + -28x + -4x2 + x3) = 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 '(-32 + -28x + -4x2 + x3)' equal to zero and attempt to solve: Simplifying -32 + -28x + -4x2 + x3 = 0 Solving -32 + -28x + -4x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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