2x^8+4x^7=6x^6+4x^5

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Solution for 2x^8+4x^7=6x^6+4x^5 equation:


Simplifying
2x8 + 4x7 = 6x6 + 4x5

Reorder the terms:
4x7 + 2x8 = 6x6 + 4x5

Reorder the terms:
4x7 + 2x8 = 4x5 + 6x6

Solving
4x7 + 2x8 = 4x5 + 6x6

Solving for variable 'x'.

Reorder the terms:
-4x5 + -6x6 + 4x7 + 2x8 = 4x5 + 6x6 + -4x5 + -6x6

Reorder the terms:
-4x5 + -6x6 + 4x7 + 2x8 = 4x5 + -4x5 + 6x6 + -6x6

Combine like terms: 4x5 + -4x5 = 0
-4x5 + -6x6 + 4x7 + 2x8 = 0 + 6x6 + -6x6
-4x5 + -6x6 + 4x7 + 2x8 = 6x6 + -6x6

Combine like terms: 6x6 + -6x6 = 0
-4x5 + -6x6 + 4x7 + 2x8 = 0

Factor out the Greatest Common Factor (GCF), '2x5'.
2x5(-2 + -3x + 2x2 + x3) = 0

Ignore the factor 2.

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 '(-2 + -3x + 2x2 + x3)' equal to zero and attempt to solve: Simplifying -2 + -3x + 2x2 + x3 = 0 Solving -2 + -3x + 2x2 + 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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