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Simplifying 4m2 = 9m + 9 Reorder the terms: 4m2 = 9 + 9m Solving 4m2 = 9 + 9m Solving for variable 'm'. Reorder the terms: -9 + -9m + 4m2 = 9 + 9m + -9 + -9m Reorder the terms: -9 + -9m + 4m2 = 9 + -9 + 9m + -9m Combine like terms: 9 + -9 = 0 -9 + -9m + 4m2 = 0 + 9m + -9m -9 + -9m + 4m2 = 9m + -9m Combine like terms: 9m + -9m = 0 -9 + -9m + 4m2 = 0 Factor a trinomial. (-3 + -4m)(3 + -1m) = 0Subproblem 1
Set the factor '(-3 + -4m)' equal to zero and attempt to solve: Simplifying -3 + -4m = 0 Solving -3 + -4m = 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 + -4m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4m = 0 + 3 -4m = 0 + 3 Combine like terms: 0 + 3 = 3 -4m = 3 Divide each side by '-4'. m = -0.75 Simplifying m = -0.75Subproblem 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 = {-0.75, 3}
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