x^10-9x^8=x(x^10-6x^9+9x^8)

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Solution for x^10-9x^8=x(x^10-6x^9+9x^8) equation: 


Simplifying
x10 + -9x8 = x(x10 + -6x9 + 9x8)

Reorder the terms:
-9x8 + x10 = x(x10 + -6x9 + 9x8)

Reorder the terms:
-9x8 + x10 = x(9x8 + -6x9 + x10)
-9x8 + x10 = (9x8 * x + -6x9 * x + x10 * x)
-9x8 + x10 = (9x9 + -6x10 + x11)

Solving
-9x8 + x10 = 9x9 + -6x10 + x11

Solving for variable 'x'.

Reorder the terms:
-9x8 + -9x9 + x10 + 6x10 + -1x11 = 9x9 + -6x10 + x11 + -9x9 + 6x10 + -1x11

Combine like terms: x10 + 6x10 = 7x10
-9x8 + -9x9 + 7x10 + -1x11 = 9x9 + -6x10 + x11 + -9x9 + 6x10 + -1x11

Reorder the terms:
-9x8 + -9x9 + 7x10 + -1x11 = 9x9 + -9x9 + -6x10 + 6x10 + x11 + -1x11

Combine like terms: 9x9 + -9x9 = 0
-9x8 + -9x9 + 7x10 + -1x11 = 0 + -6x10 + 6x10 + x11 + -1x11
-9x8 + -9x9 + 7x10 + -1x11 = -6x10 + 6x10 + x11 + -1x11

Combine like terms: -6x10 + 6x10 = 0
-9x8 + -9x9 + 7x10 + -1x11 = 0 + x11 + -1x11
-9x8 + -9x9 + 7x10 + -1x11 = x11 + -1x11

Combine like terms: x11 + -1x11 = 0
-9x8 + -9x9 + 7x10 + -1x11 = 0

Factor out the Greatest Common Factor (GCF), 'x8'.
x8(-9 + -9x + 7x2 + -1x3) = 0


Subproblem 1
Set the factor 'x8' equal to zero and attempt to solve:

Simplifying
x8 = 0

Solving
x8 = 0

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

Simplifying
x8 = 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 '(-9 + -9x + 7x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-9 + -9x + 7x2 + -1x3 = 0

Solving
-9 + -9x + 7x2 + -1x3 = 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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