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Simplifying m2 + -3m + 12 = 12 Reorder the terms: 12 + -3m + m2 = 12 Add '-12' to each side of the equation. 12 + -3m + -12 + m2 = 12 + -12 Reorder the terms: 12 + -12 + -3m + m2 = 12 + -12 Combine like terms: 12 + -12 = 0 0 + -3m + m2 = 12 + -12 -3m + m2 = 12 + -12 Combine like terms: 12 + -12 = 0 -3m + m2 = 0 Solving -3m + m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-3 + m) = 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 + m)' equal to zero and attempt to solve: Simplifying -3 + m = 0 Solving -3 + m = 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 + m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + m = 0 + 3 m = 0 + 3 Combine like terms: 0 + 3 = 3 m = 3 Simplifying m = 3Solution
m = {0, 3}
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