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Simplifying (5m + 7)(m + -8) = 0 Reorder the terms: (7 + 5m)(m + -8) = 0 Reorder the terms: (7 + 5m)(-8 + m) = 0 Multiply (7 + 5m) * (-8 + m) (7(-8 + m) + 5m * (-8 + m)) = 0 ((-8 * 7 + m * 7) + 5m * (-8 + m)) = 0 ((-56 + 7m) + 5m * (-8 + m)) = 0 (-56 + 7m + (-8 * 5m + m * 5m)) = 0 (-56 + 7m + (-40m + 5m2)) = 0 Combine like terms: 7m + -40m = -33m (-56 + -33m + 5m2) = 0 Solving -56 + -33m + 5m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -5m)(8 + -1m) = 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 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 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 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {-1.4, 8}
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