0=x^9-x^8-7x^7+7x^6

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


Simplifying
0 = x9 + -1x8 + -7x7 + 7x6

Reorder the terms:
0 = 7x6 + -7x7 + -1x8 + x9

Solving
0 = 7x6 + -7x7 + -1x8 + x9

Solving for variable 'x'.
Remove the zero:
-7x6 + 7x7 + x8 + -1x9 = 7x6 + -7x7 + -1x8 + x9 + -7x6 + 7x7 + x8 + -1x9

Reorder the terms:
-7x6 + 7x7 + x8 + -1x9 = 7x6 + -7x6 + -7x7 + 7x7 + -1x8 + x8 + x9 + -1x9

Combine like terms: 7x6 + -7x6 = 0
-7x6 + 7x7 + x8 + -1x9 = 0 + -7x7 + 7x7 + -1x8 + x8 + x9 + -1x9
-7x6 + 7x7 + x8 + -1x9 = -7x7 + 7x7 + -1x8 + x8 + x9 + -1x9

Combine like terms: -7x7 + 7x7 = 0
-7x6 + 7x7 + x8 + -1x9 = 0 + -1x8 + x8 + x9 + -1x9
-7x6 + 7x7 + x8 + -1x9 = -1x8 + x8 + x9 + -1x9

Combine like terms: -1x8 + x8 = 0
-7x6 + 7x7 + x8 + -1x9 = 0 + x9 + -1x9
-7x6 + 7x7 + x8 + -1x9 = x9 + -1x9

Combine like terms: x9 + -1x9 = 0
-7x6 + 7x7 + x8 + -1x9 = 0

Factor out the Greatest Common Factor (GCF), 'x6'.
x6(-7 + 7x + x2 + -1x3) = 0


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

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

Solving
-7 + 7x + x2 + -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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