4x^8-16x^5-16x^4+16x^3+16x^2=0

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Solution for 4x^8-16x^5-16x^4+16x^3+16x^2=0 equation: 


Simplifying
4x8 + -16x5 + -16x4 + 16x3 + 16x2 = 0

Reorder the terms:
16x2 + 16x3 + -16x4 + -16x5 + 4x8 = 0

Solving
16x2 + 16x3 + -16x4 + -16x5 + 4x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(4 + 4x + -4x2 + -4x3 + x6) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(4 + 4x + -4x2 + -4x3 + x6)' equal to zero and attempt to solve:

Simplifying
4 + 4x + -4x2 + -4x3 + x6 = 0

Solving
4 + 4x + -4x2 + -4x3 + x6 = 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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