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