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Simplifying 5m2 + -27m + 36 = 0 Reorder the terms: 36 + -27m + 5m2 = 0 Solving 36 + -27m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (12 + -5m)(3 + -1m) = 0Subproblem 1
Set the factor '(12 + -5m)' equal to zero and attempt to solve: Simplifying 12 + -5m = 0 Solving 12 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5m = 0 + -12 -5m = 0 + -12 Combine like terms: 0 + -12 = -12 -5m = -12 Divide each side by '-5'. m = 2.4 Simplifying m = 2.4Subproblem 2
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 = 3Solution
m = {2.4, 3}
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