2x^5+6x^4-4x^3=4x^2-2x-2

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Solution for 2x^5+6x^4-4x^3=4x^2-2x-2 equation:


Simplifying
2x5 + 6x4 + -4x3 = 4x2 + -2x + -2

Reorder the terms:
-4x3 + 6x4 + 2x5 = 4x2 + -2x + -2

Reorder the terms:
-4x3 + 6x4 + 2x5 = -2 + -2x + 4x2

Solving
-4x3 + 6x4 + 2x5 = -2 + -2x + 4x2

Solving for variable 'x'.

Reorder the terms:
2 + 2x + -4x2 + -4x3 + 6x4 + 2x5 = -2 + -2x + 4x2 + 2 + 2x + -4x2

Reorder the terms:
2 + 2x + -4x2 + -4x3 + 6x4 + 2x5 = -2 + 2 + -2x + 2x + 4x2 + -4x2

Combine like terms: -2 + 2 = 0
2 + 2x + -4x2 + -4x3 + 6x4 + 2x5 = 0 + -2x + 2x + 4x2 + -4x2
2 + 2x + -4x2 + -4x3 + 6x4 + 2x5 = -2x + 2x + 4x2 + -4x2

Combine like terms: -2x + 2x = 0
2 + 2x + -4x2 + -4x3 + 6x4 + 2x5 = 0 + 4x2 + -4x2
2 + 2x + -4x2 + -4x3 + 6x4 + 2x5 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
2 + 2x + -4x2 + -4x3 + 6x4 + 2x5 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + x + -2x2 + -2x3 + 3x4 + x5) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + x + -2x2 + -2x3 + 3x4 + x5)' equal to zero and attempt to solve: Simplifying 1 + x + -2x2 + -2x3 + 3x4 + x5 = 0 Solving 1 + x + -2x2 + -2x3 + 3x4 + x5 = 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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