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Simplifying (8m + -3)(6m + -7) = 0 Reorder the terms: (-3 + 8m)(6m + -7) = 0 Reorder the terms: (-3 + 8m)(-7 + 6m) = 0 Multiply (-3 + 8m) * (-7 + 6m) (-3(-7 + 6m) + 8m * (-7 + 6m)) = 0 ((-7 * -3 + 6m * -3) + 8m * (-7 + 6m)) = 0 ((21 + -18m) + 8m * (-7 + 6m)) = 0 (21 + -18m + (-7 * 8m + 6m * 8m)) = 0 (21 + -18m + (-56m + 48m2)) = 0 Combine like terms: -18m + -56m = -74m (21 + -74m + 48m2) = 0 Solving 21 + -74m + 48m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -8m)(7 + -6m) = 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 '(7 + -6m)' equal to zero and attempt to solve: Simplifying 7 + -6m = 0 Solving 7 + -6m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6m = 0 + -7 -6m = 0 + -7 Combine like terms: 0 + -7 = -7 -6m = -7 Divide each side by '-6'. m = 1.166666667 Simplifying m = 1.166666667Solution
m = {0.375, 1.166666667}
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