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Simplifying 5m2 + -4m = 33 Reorder the terms: -4m + 5m2 = 33 Solving -4m + 5m2 = 33 Solving for variable 'm'. Reorder the terms: -33 + -4m + 5m2 = 33 + -33 Combine like terms: 33 + -33 = 0 -33 + -4m + 5m2 = 0 Factor a trinomial. (-11 + -5m)(3 + -1m) = 0Subproblem 1
Set the factor '(-11 + -5m)' equal to zero and attempt to solve: Simplifying -11 + -5m = 0 Solving -11 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -5m = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -5m = 0 + 11 -5m = 0 + 11 Combine like terms: 0 + 11 = 11 -5m = 11 Divide each side by '-5'. m = -2.2 Simplifying m = -2.2Subproblem 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 = {-2.2, 3}
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