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Simplifying H(x) = x * 5 Multiply H * x xH = x * 5 Reorder the terms for easier multiplication: xH = 5x Solving xH = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5x + xH = 5x + -5x Combine like terms: 5x + -5x = 0 -5x + xH = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 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 '(-5 + H)' equal to zero and attempt to solve: Simplifying -5 + H = 0 Solving -5 + H = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + H = 0 + 5 Combine like terms: -5 + 5 = 0 0 + H = 0 + 5 H = 0 + 5 Combine like terms: 0 + 5 = 5 H = 5 Add '-1H' to each side of the equation. H + -1H = 5 + -1H Combine like terms: H + -1H = 0 0 = 5 + -1H Simplifying 0 = 5 + -1H 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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