x^3*x(8x-16)=0

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Solution for x^3*x(8x-16)=0 equation:


Simplifying
x3 * x(8x + -16) = 0

Reorder the terms:
x3 * x(-16 + 8x) = 0

Multiply x3 * x
x4(-16 + 8x) = 0
(-16 * x4 + 8x * x4) = 0
(-16x4 + 8x5) = 0

Solving
-16x4 + 8x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x4'.
8x4(-2 + x) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2

Solution

x = {2}

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