x^6+2x^5=-64x^3-128x^2

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Solution for x^6+2x^5=-64x^3-128x^2 equation: 


Simplifying
x6 + 2x5 = -64x3 + -128x2

Reorder the terms:
2x5 + x6 = -64x3 + -128x2

Reorder the terms:
2x5 + x6 = -128x2 + -64x3

Solving
2x5 + x6 = -128x2 + -64x3

Solving for variable 'x'.

Reorder the terms:
128x2 + 64x3 + 2x5 + x6 = -128x2 + -64x3 + 128x2 + 64x3

Reorder the terms:
128x2 + 64x3 + 2x5 + x6 = -128x2 + 128x2 + -64x3 + 64x3

Combine like terms: -128x2 + 128x2 = 0
128x2 + 64x3 + 2x5 + x6 = 0 + -64x3 + 64x3
128x2 + 64x3 + 2x5 + x6 = -64x3 + 64x3

Combine like terms: -64x3 + 64x3 = 0
128x2 + 64x3 + 2x5 + x6 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(128 + 64x + 2x3 + x4) = 0


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 '(128 + 64x + 2x3 + x4)' equal to zero and attempt to solve:

Simplifying
128 + 64x + 2x3 + x4 = 0

Solving
128 + 64x + 2x3 + x4 = 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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