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Simplifying -12m2 + 52m + -56 = 0 Reorder the terms: -56 + 52m + -12m2 = 0 Solving -56 + 52m + -12m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(-14 + 13m + -3m2) = 0 Factor a trinomial. 4((-7 + 3m)(2 + -1m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + 3m)' equal to zero and attempt to solve: Simplifying -7 + 3m = 0 Solving -7 + 3m = 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 + 3m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3m = 0 + 7 3m = 0 + 7 Combine like terms: 0 + 7 = 7 3m = 7 Divide each side by '3'. m = 2.333333333 Simplifying m = 2.333333333Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {2.333333333, 2}
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