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Simplifying (3x + 11) * m = (5x + -6) * m Reorder the terms: (11 + 3x) * m = (5x + -6) * m Reorder the terms for easier multiplication: m(11 + 3x) = (5x + -6) * m (11 * m + 3x * m) = (5x + -6) * m (11m + 3mx) = (5x + -6) * m Reorder the terms: 11m + 3mx = (-6 + 5x) * m Reorder the terms for easier multiplication: 11m + 3mx = m(-6 + 5x) 11m + 3mx = (-6 * m + 5x * m) 11m + 3mx = (-6m + 5mx) Solving 11m + 3mx = -6m + 5mx Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 11m + 6m + 3mx = -6m + 6m + 5mx Combine like terms: 11m + 6m = 17m 17m + 3mx = -6m + 6m + 5mx Combine like terms: -6m + 6m = 0 17m + 3mx = 0 + 5mx 17m + 3mx = 5mx Add '-5mx' to each side of the equation. 17m + 3mx + -5mx = 5mx + -5mx Combine like terms: 3mx + -5mx = -2mx 17m + -2mx = 5mx + -5mx Combine like terms: 5mx + -5mx = 0 17m + -2mx = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(17 + -2x) = 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 '(17 + -2x)' equal to zero and attempt to solve: Simplifying 17 + -2x = 0 Solving 17 + -2x = 0 Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 0 + -17 -2x = 0 + -17 Combine like terms: 0 + -17 = -17 -2x = -17 Add '2x' to each side of the equation. -2x + 2x = -17 + 2x Combine like terms: -2x + 2x = 0 0 = -17 + 2x Simplifying 0 = -17 + 2x 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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