x^8-3x^7=x^6-3x^5

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Solution for x^8-3x^7=x^6-3x^5 equation:


Simplifying
x8 + -3x7 = x6 + -3x5

Reorder the terms:
-3x7 + x8 = x6 + -3x5

Reorder the terms:
-3x7 + x8 = -3x5 + x6

Solving
-3x7 + x8 = -3x5 + x6

Solving for variable 'x'.

Reorder the terms:
3x5 + -1x6 + -3x7 + x8 = -3x5 + x6 + 3x5 + -1x6

Reorder the terms:
3x5 + -1x6 + -3x7 + x8 = -3x5 + 3x5 + x6 + -1x6

Combine like terms: -3x5 + 3x5 = 0
3x5 + -1x6 + -3x7 + x8 = 0 + x6 + -1x6
3x5 + -1x6 + -3x7 + x8 = x6 + -1x6

Combine like terms: x6 + -1x6 = 0
3x5 + -1x6 + -3x7 + x8 = 0

Factor out the Greatest Common Factor (GCF), 'x5'.
x5(3 + -1x + -3x2 + x3) = 0

Subproblem 1

Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 '(3 + -1x + -3x2 + x3)' equal to zero and attempt to solve: Simplifying 3 + -1x + -3x2 + x3 = 0 Solving 3 + -1x + -3x2 + x3 = 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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