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Simplifying H(x) = -1x5 + x2 + -1x Multiply H * x xH = -1x5 + x2 + -1x Reorder the terms: xH = -1x + x2 + -1x5 Solving xH = -1x + x2 + -1x5 Solving for variable 'x'. Reorder the terms: x + xH + -1x2 + x5 = -1x + x2 + -1x5 + x + -1x2 + x5 Reorder the terms: x + xH + -1x2 + x5 = -1x + x + x2 + -1x2 + -1x5 + x5 Combine like terms: -1x + x = 0 x + xH + -1x2 + x5 = 0 + x2 + -1x2 + -1x5 + x5 x + xH + -1x2 + x5 = x2 + -1x2 + -1x5 + x5 Combine like terms: x2 + -1x2 = 0 x + xH + -1x2 + x5 = 0 + -1x5 + x5 x + xH + -1x2 + x5 = -1x5 + x5 Combine like terms: -1x5 + x5 = 0 x + xH + -1x2 + x5 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + H + -1x + x4) = 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 + H + -1x + x4)' equal to zero and attempt to solve: Simplifying 1 + H + -1x + x4 = 0 Solving 1 + H + -1x + x4 = 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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