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Simplifying 4m2 + -11m + -45 = 0 Reorder the terms: -45 + -11m + 4m2 = 0 Solving -45 + -11m + 4m2 = 0 Solving for variable 'm'. Factor a trinomial. (-9 + -4m)(5 + -1m) = 0Subproblem 1
Set the factor '(-9 + -4m)' equal to zero and attempt to solve: Simplifying -9 + -4m = 0 Solving -9 + -4m = 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 + -4m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4m = 0 + 9 -4m = 0 + 9 Combine like terms: 0 + 9 = 9 -4m = 9 Divide each side by '-4'. m = -2.25 Simplifying m = -2.25Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5Solution
m = {-2.25, 5}
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