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Simplifying 8m2 + -81m + 10 = 0 Reorder the terms: 10 + -81m + 8m2 = 0 Solving 10 + -81m + 8m2 = 0 Solving for variable 'm'. Factor a trinomial. (1 + -8m)(10 + -1m) = 0Subproblem 1
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 = 0.125Subproblem 2
Set the factor '(10 + -1m)' equal to zero and attempt to solve: Simplifying 10 + -1m = 0 Solving 10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1m = 0 + -10 -1m = 0 + -10 Combine like terms: 0 + -10 = -10 -1m = -10 Divide each side by '-1'. m = 10 Simplifying m = 10Solution
m = {0.125, 10}
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