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Simplifying (8 + x) * m = 5m Reorder the terms for easier multiplication: m(8 + x) = 5m (8 * m + x * m) = 5m (8m + mx) = 5m Solving 8m + mx = 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 8m + -5m + mx = 5m + -5m Combine like terms: 8m + -5m = 3m 3m + mx = 5m + -5m Combine like terms: 5m + -5m = 0 3m + mx = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(3 + x) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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