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Simplifying 0 = 16m2 + -24m + 9 Reorder the terms: 0 = 9 + -24m + 16m2 Solving 0 = 9 + -24m + 16m2 Solving for variable 'm'. Combine like terms: 0 + -9 = -9 -9 + 24m + -16m2 = 9 + -24m + 16m2 + -9 + 24m + -16m2 Reorder the terms: -9 + 24m + -16m2 = 9 + -9 + -24m + 24m + 16m2 + -16m2 Combine like terms: 9 + -9 = 0 -9 + 24m + -16m2 = 0 + -24m + 24m + 16m2 + -16m2 -9 + 24m + -16m2 = -24m + 24m + 16m2 + -16m2 Combine like terms: -24m + 24m = 0 -9 + 24m + -16m2 = 0 + 16m2 + -16m2 -9 + 24m + -16m2 = 16m2 + -16m2 Combine like terms: 16m2 + -16m2 = 0 -9 + 24m + -16m2 = 0 Factor a trinomial. (-3 + 4m)(3 + -4m) = 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 + -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 = 0.75Solution
m = {0.75, 0.75}
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