-4x=x^3+3x^2-2x+8

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Solution for -4x=x^3+3x^2-2x+8 equation:


Simplifying
-4x = x3 + 3x2 + -2x + 8

Reorder the terms:
-4x = 8 + -2x + 3x2 + x3

Solving
-4x = 8 + -2x + 3x2 + x3

Solving for variable 'x'.

Reorder the terms:
-8 + -4x + 2x + -3x2 + -1x3 = 8 + -2x + 3x2 + x3 + -8 + 2x + -3x2 + -1x3

Combine like terms: -4x + 2x = -2x
-8 + -2x + -3x2 + -1x3 = 8 + -2x + 3x2 + x3 + -8 + 2x + -3x2 + -1x3

Reorder the terms:
-8 + -2x + -3x2 + -1x3 = 8 + -8 + -2x + 2x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: 8 + -8 = 0
-8 + -2x + -3x2 + -1x3 = 0 + -2x + 2x + 3x2 + -3x2 + x3 + -1x3
-8 + -2x + -3x2 + -1x3 = -2x + 2x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: -2x + 2x = 0
-8 + -2x + -3x2 + -1x3 = 0 + 3x2 + -3x2 + x3 + -1x3
-8 + -2x + -3x2 + -1x3 = 3x2 + -3x2 + x3 + -1x3

Combine like terms: 3x2 + -3x2 = 0
-8 + -2x + -3x2 + -1x3 = 0 + x3 + -1x3
-8 + -2x + -3x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-8 + -2x + -3x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 2x + 3x2 + x3) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(8 + 2x + 3x2 + x3)' equal to zero and attempt to solve: Simplifying 8 + 2x + 3x2 + x3 = 0 Solving 8 + 2x + 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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