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Simplifying U(x) = x4 + -1x2 + x Multiply U * x xU = x4 + -1x2 + x Reorder the terms: xU = x + -1x2 + x4 Solving xU = x + -1x2 + x4 Solving for variable 'x'. Reorder the terms: -1x + xU + x2 + -1x4 = x + -1x2 + x4 + -1x + x2 + -1x4 Reorder the terms: -1x + xU + x2 + -1x4 = x + -1x + -1x2 + x2 + x4 + -1x4 Combine like terms: x + -1x = 0 -1x + xU + x2 + -1x4 = 0 + -1x2 + x2 + x4 + -1x4 -1x + xU + x2 + -1x4 = -1x2 + x2 + x4 + -1x4 Combine like terms: -1x2 + x2 = 0 -1x + xU + x2 + -1x4 = 0 + x4 + -1x4 -1x + xU + x2 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -1x + xU + x2 + -1x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + U + x + -1x3) = 0Subproblem 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 + U + x + -1x3)' equal to zero and attempt to solve: Simplifying -1 + U + x + -1x3 = 0 Solving -1 + U + x + -1x3 = 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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