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Simplifying 9m2 + -48m + 64 = 0 Reorder the terms: 64 + -48m + 9m2 = 0 Solving 64 + -48m + 9m2 = 0 Solving for variable 'm'. Factor a trinomial. (8 + -3m)(8 + -3m) = 0Subproblem 1
Set the factor '(8 + -3m)' equal to zero and attempt to solve: Simplifying 8 + -3m = 0 Solving 8 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3m = 0 + -8 -3m = 0 + -8 Combine like terms: 0 + -8 = -8 -3m = -8 Divide each side by '-3'. m = 2.666666667 Simplifying m = 2.666666667Subproblem 2
Set the factor '(8 + -3m)' equal to zero and attempt to solve: Simplifying 8 + -3m = 0 Solving 8 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3m = 0 + -8 -3m = 0 + -8 Combine like terms: 0 + -8 = -8 -3m = -8 Divide each side by '-3'. m = 2.666666667 Simplifying m = 2.666666667Solution
m = {2.666666667, 2.666666667}
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