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Simplifying 2m2 + -6m + 12 = 12 Reorder the terms: 12 + -6m + 2m2 = 12 Add '-12' to each side of the equation. 12 + -6m + -12 + 2m2 = 12 + -12 Reorder the terms: 12 + -12 + -6m + 2m2 = 12 + -12 Combine like terms: 12 + -12 = 0 0 + -6m + 2m2 = 12 + -12 -6m + 2m2 = 12 + -12 Combine like terms: 12 + -12 = 0 -6m + 2m2 = 0 Solving -6m + 2m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(-3 + m) = 0 Ignore the factor 2.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 '(-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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