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Simplifying 12m + -4(5 + -1m) * m = 0 Reorder the terms for easier multiplication: 12m + -4m(5 + -1m) = 0 12m + (5 * -4m + -1m * -4m) = 0 12m + (-20m + 4m2) = 0 Combine like terms: 12m + -20m = -8m -8m + 4m2 = 0 Solving -8m + 4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(-2 + m) = 0 Ignore the factor 4.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 '(-2 + m)' equal to zero and attempt to solve: Simplifying -2 + m = 0 Solving -2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + m = 0 + 2 m = 0 + 2 Combine like terms: 0 + 2 = 2 m = 2 Simplifying m = 2Solution
m = {0, 2}
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