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Simplifying (5m + -8)(5m + -7) = 0 Reorder the terms: (-8 + 5m)(5m + -7) = 0 Reorder the terms: (-8 + 5m)(-7 + 5m) = 0 Multiply (-8 + 5m) * (-7 + 5m) (-8(-7 + 5m) + 5m * (-7 + 5m)) = 0 ((-7 * -8 + 5m * -8) + 5m * (-7 + 5m)) = 0 ((56 + -40m) + 5m * (-7 + 5m)) = 0 (56 + -40m + (-7 * 5m + 5m * 5m)) = 0 (56 + -40m + (-35m + 25m2)) = 0 Combine like terms: -40m + -35m = -75m (56 + -75m + 25m2) = 0 Solving 56 + -75m + 25m2 = 0 Solving for variable 'm'. Factor a trinomial. (7 + -5m)(8 + -5m) = 0Subproblem 1
Set the factor '(7 + -5m)' equal to zero and attempt to solve: Simplifying 7 + -5m = 0 Solving 7 + -5m = 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 + -5m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5m = 0 + -7 -5m = 0 + -7 Combine like terms: 0 + -7 = -7 -5m = -7 Divide each side by '-5'. m = 1.4 Simplifying m = 1.4Subproblem 2
Set the factor '(8 + -5m)' equal to zero and attempt to solve: Simplifying 8 + -5m = 0 Solving 8 + -5m = 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 + -5m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5m = 0 + -8 -5m = 0 + -8 Combine like terms: 0 + -8 = -8 -5m = -8 Divide each side by '-5'. m = 1.6 Simplifying m = 1.6Solution
m = {1.4, 1.6}
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