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Simplifying H(x) = g(x) Multiply H * x xH = g(x) Multiply g * x xH = gx Solving xH = gx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1gx' to each side of the equation. -1gx + xH = gx + -1gx Combine like terms: gx + -1gx = 0 -1gx + xH = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1g + H) = 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 '(-1g + H)' equal to zero and attempt to solve: Simplifying -1g + H = 0 Reorder the terms: H + -1g = 0 Solving H + -1g = 0 Move all terms containing x to the left, all other terms to the right. Add '-1H' to each side of the equation. H + -1H + -1g = 0 + -1H Combine like terms: H + -1H = 0 0 + -1g = 0 + -1H -1g = 0 + -1H Remove the zero: -1g = -1H Add 'g' to each side of the equation. -1g + g = -1H + g Combine like terms: -1g + g = 0 0 = -1H + g Simplifying 0 = -1H + g 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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