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Simplifying 17m2 + -3m + -108 = 11m2 Reorder the terms: -108 + -3m + 17m2 = 11m2 Solving -108 + -3m + 17m2 = 11m2 Solving for variable 'm'. Combine like terms: 17m2 + -11m2 = 6m2 -108 + -3m + 6m2 = 11m2 + -11m2 Combine like terms: 11m2 + -11m2 = 0 -108 + -3m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-36 + -1m + 2m2) = 0 Factor a trinomial. 3((-4 + -1m)(9 + -2m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve: Simplifying -4 + -1m = 0 Solving -4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1m = 0 + 4 -1m = 0 + 4 Combine like terms: 0 + 4 = 4 -1m = 4 Divide each side by '-1'. m = -4 Simplifying m = -4Subproblem 2
Set the factor '(9 + -2m)' equal to zero and attempt to solve: Simplifying 9 + -2m = 0 Solving 9 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2m = 0 + -9 -2m = 0 + -9 Combine like terms: 0 + -9 = -9 -2m = -9 Divide each side by '-2'. m = 4.5 Simplifying m = 4.5Solution
m = {-4, 4.5}
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