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Simplifying 3m2 = -6m + 9 Reorder the terms: 3m2 = 9 + -6m Solving 3m2 = 9 + -6m Solving for variable 'm'. Reorder the terms: -9 + 6m + 3m2 = 9 + -6m + -9 + 6m Reorder the terms: -9 + 6m + 3m2 = 9 + -9 + -6m + 6m Combine like terms: 9 + -9 = 0 -9 + 6m + 3m2 = 0 + -6m + 6m -9 + 6m + 3m2 = -6m + 6m Combine like terms: -6m + 6m = 0 -9 + 6m + 3m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 2m + m2) = 0 Factor a trinomial. 3((-3 + -1m)(1 + -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 '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-3, 1}
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