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Simplifying 4m2 + -27m + 45 = 0 Reorder the terms: 45 + -27m + 4m2 = 0 Solving 45 + -27m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -1m)(15 + -4m) = 0Subproblem 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 '(15 + -4m)' equal to zero and attempt to solve: Simplifying 15 + -4m = 0 Solving 15 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4m = 0 + -15 -4m = 0 + -15 Combine like terms: 0 + -15 = -15 -4m = -15 Divide each side by '-4'. m = 3.75 Simplifying m = 3.75Solution
m = {3, 3.75}
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