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Simplifying -6m = -6m2 + 5(-6m) Remove parenthesis around (-6m) -6m = -6m2 + 5 * -6m Multiply 5 * -6 -6m = -6m2 + -30m Reorder the terms: -6m = -30m + -6m2 Solving -6m = -30m + -6m2 Solving for variable 'm'. Combine like terms: -6m + 30m = 24m 24m + 6m2 = -30m + -6m2 + 30m + 6m2 Reorder the terms: 24m + 6m2 = -30m + 30m + -6m2 + 6m2 Combine like terms: -30m + 30m = 0 24m + 6m2 = 0 + -6m2 + 6m2 24m + 6m2 = -6m2 + 6m2 Combine like terms: -6m2 + 6m2 = 0 24m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '6m'. 6m(4 + m) = 0 Ignore the factor 6.Subproblem 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 '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Solution
m = {0, -4}
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