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Simplifying 4x4 + -2x3 = -4x2 + 2x Reorder the terms: -2x3 + 4x4 = -4x2 + 2x Reorder the terms: -2x3 + 4x4 = 2x + -4x2 Solving -2x3 + 4x4 = 2x + -4x2 Solving for variable 'x'. Reorder the terms: -2x + 4x2 + -2x3 + 4x4 = 2x + -4x2 + -2x + 4x2 Reorder the terms: -2x + 4x2 + -2x3 + 4x4 = 2x + -2x + -4x2 + 4x2 Combine like terms: 2x + -2x = 0 -2x + 4x2 + -2x3 + 4x4 = 0 + -4x2 + 4x2 -2x + 4x2 + -2x3 + 4x4 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -2x + 4x2 + -2x3 + 4x4 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1 + 2x + -1x2 + 2x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + 2x + -1x2 + 2x3)' equal to zero and attempt to solve: Simplifying -1 + 2x + -1x2 + 2x3 = 0 Solving -1 + 2x + -1x2 + 2x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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