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Simplifying 64m2 + -48m + 9 = 0 Reorder the terms: 9 + -48m + 64m2 = 0 Solving 9 + -48m + 64m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -8m)(3 + -8m) = 0Subproblem 1
Set the factor '(3 + -8m)' equal to zero and attempt to solve: Simplifying 3 + -8m = 0 Solving 3 + -8m = 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 + -8m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8m = 0 + -3 -8m = 0 + -3 Combine like terms: 0 + -3 = -3 -8m = -3 Divide each side by '-8'. m = 0.375 Simplifying m = 0.375Subproblem 2
Set the factor '(3 + -8m)' equal to zero and attempt to solve: Simplifying 3 + -8m = 0 Solving 3 + -8m = 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 + -8m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8m = 0 + -3 -8m = 0 + -3 Combine like terms: 0 + -3 = -3 -8m = -3 Divide each side by '-8'. m = 0.375 Simplifying m = 0.375Solution
m = {0.375, 0.375}
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