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Simplifying 32m2 + 20m + -3 = 0 Reorder the terms: -3 + 20m + 32m2 = 0 Solving -3 + 20m + 32m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -4m)(1 + -8m) = 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 '(1 + -8m)' equal to zero and attempt to solve: Simplifying 1 + -8m = 0 Solving 1 + -8m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8m = 0 + -1 -8m = 0 + -1 Combine like terms: 0 + -1 = -1 -8m = -1 Divide each side by '-8'. m = 0.125 Simplifying m = 0.125Solution
m = {-0.75, 0.125}
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