0=-8x^10+32x^9-48x^8+32x^7-8x^6

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Solution for 0=-8x^10+32x^9-48x^8+32x^7-8x^6 equation: 


Simplifying
0 = -8x10 + 32x9 + -48x8 + 32x7 + -8x6

Reorder the terms:
0 = -8x6 + 32x7 + -48x8 + 32x9 + -8x10

Solving
0 = -8x6 + 32x7 + -48x8 + 32x9 + -8x10

Solving for variable 'x'.
Remove the zero:
8x6 + -32x7 + 48x8 + -32x9 + 8x10 = -8x6 + 32x7 + -48x8 + 32x9 + -8x10 + 8x6 + -32x7 + 48x8 + -32x9 + 8x10

Reorder the terms:
8x6 + -32x7 + 48x8 + -32x9 + 8x10 = -8x6 + 8x6 + 32x7 + -32x7 + -48x8 + 48x8 + 32x9 + -32x9 + -8x10 + 8x10

Combine like terms: -8x6 + 8x6 = 0
8x6 + -32x7 + 48x8 + -32x9 + 8x10 = 0 + 32x7 + -32x7 + -48x8 + 48x8 + 32x9 + -32x9 + -8x10 + 8x10
8x6 + -32x7 + 48x8 + -32x9 + 8x10 = 32x7 + -32x7 + -48x8 + 48x8 + 32x9 + -32x9 + -8x10 + 8x10

Combine like terms: 32x7 + -32x7 = 0
8x6 + -32x7 + 48x8 + -32x9 + 8x10 = 0 + -48x8 + 48x8 + 32x9 + -32x9 + -8x10 + 8x10
8x6 + -32x7 + 48x8 + -32x9 + 8x10 = -48x8 + 48x8 + 32x9 + -32x9 + -8x10 + 8x10

Combine like terms: -48x8 + 48x8 = 0
8x6 + -32x7 + 48x8 + -32x9 + 8x10 = 0 + 32x9 + -32x9 + -8x10 + 8x10
8x6 + -32x7 + 48x8 + -32x9 + 8x10 = 32x9 + -32x9 + -8x10 + 8x10

Combine like terms: 32x9 + -32x9 = 0
8x6 + -32x7 + 48x8 + -32x9 + 8x10 = 0 + -8x10 + 8x10
8x6 + -32x7 + 48x8 + -32x9 + 8x10 = -8x10 + 8x10

Combine like terms: -8x10 + 8x10 = 0
8x6 + -32x7 + 48x8 + -32x9 + 8x10 = 0

Factor out the Greatest Common Factor (GCF), '8x6'.
8x6(1 + -4x + 6x2 + -4x3 + x4) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'x6' equal to zero and attempt to solve:

Simplifying
x6 = 0

Solving
x6 = 0

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

Simplifying
x6 = 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 '(1 + -4x + 6x2 + -4x3 + x4)' equal to zero and attempt to solve:

Simplifying
1 + -4x + 6x2 + -4x3 + x4 = 0

Solving
1 + -4x + 6x2 + -4x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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