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Simplifying 3m2 + -9m + -63 = 3m Reorder the terms: -63 + -9m + 3m2 = 3m Solving -63 + -9m + 3m2 = 3m Solving for variable 'm'. Reorder the terms: -63 + -9m + -3m + 3m2 = 3m + -3m Combine like terms: -9m + -3m = -12m -63 + -12m + 3m2 = 3m + -3m Combine like terms: 3m + -3m = 0 -63 + -12m + 3m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-21 + -4m + m2) = 0 Factor a trinomial. 3((-3 + -1m)(7 + -1m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 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 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7Solution
m = {-3, 7}
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