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Simplifying (8m + -7)(5m + 3) = 0 Reorder the terms: (-7 + 8m)(5m + 3) = 0 Reorder the terms: (-7 + 8m)(3 + 5m) = 0 Multiply (-7 + 8m) * (3 + 5m) (-7(3 + 5m) + 8m * (3 + 5m)) = 0 ((3 * -7 + 5m * -7) + 8m * (3 + 5m)) = 0 ((-21 + -35m) + 8m * (3 + 5m)) = 0 (-21 + -35m + (3 * 8m + 5m * 8m)) = 0 (-21 + -35m + (24m + 40m2)) = 0 Combine like terms: -35m + 24m = -11m (-21 + -11m + 40m2) = 0 Solving -21 + -11m + 40m2 = 0 Solving for variable 'm'. Factor a trinomial. (-3 + -5m)(7 + -8m) = 0Subproblem 1
Set the factor '(-3 + -5m)' equal to zero and attempt to solve: Simplifying -3 + -5m = 0 Solving -3 + -5m = 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 + -5m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5m = 0 + 3 -5m = 0 + 3 Combine like terms: 0 + 3 = 3 -5m = 3 Divide each side by '-5'. m = -0.6 Simplifying m = -0.6Subproblem 2
Set the factor '(7 + -8m)' equal to zero and attempt to solve: Simplifying 7 + -8m = 0 Solving 7 + -8m = 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 + -8m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8m = 0 + -7 -8m = 0 + -7 Combine like terms: 0 + -7 = -7 -8m = -7 Divide each side by '-8'. m = 0.875 Simplifying m = 0.875Solution
m = {-0.6, 0.875}
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