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Simplifying (7m + -9)(5m + 5) = 0 Reorder the terms: (-9 + 7m)(5m + 5) = 0 Reorder the terms: (-9 + 7m)(5 + 5m) = 0 Multiply (-9 + 7m) * (5 + 5m) (-9(5 + 5m) + 7m * (5 + 5m)) = 0 ((5 * -9 + 5m * -9) + 7m * (5 + 5m)) = 0 ((-45 + -45m) + 7m * (5 + 5m)) = 0 (-45 + -45m + (5 * 7m + 5m * 7m)) = 0 (-45 + -45m + (35m + 35m2)) = 0 Combine like terms: -45m + 35m = -10m (-45 + -10m + 35m2) = 0 Solving -45 + -10m + 35m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '5'. 5(-9 + -2m + 7m2) = 0 Factor a trinomial. 5((-1 + -1m)(9 + -7m)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -1m)' equal to zero and attempt to solve: Simplifying -1 + -1m = 0 Solving -1 + -1m = 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 + -1m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1m = 0 + 1 -1m = 0 + 1 Combine like terms: 0 + 1 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1Subproblem 2
Set the factor '(9 + -7m)' equal to zero and attempt to solve: Simplifying 9 + -7m = 0 Solving 9 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7m = 0 + -9 -7m = 0 + -9 Combine like terms: 0 + -9 = -9 -7m = -9 Divide each side by '-7'. m = 1.285714286 Simplifying m = 1.285714286Solution
m = {-1, 1.285714286}
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