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Simplifying (-4m + 5)(7m + 7) = 0 Reorder the terms: (5 + -4m)(7m + 7) = 0 Reorder the terms: (5 + -4m)(7 + 7m) = 0 Multiply (5 + -4m) * (7 + 7m) (5(7 + 7m) + -4m * (7 + 7m)) = 0 ((7 * 5 + 7m * 5) + -4m * (7 + 7m)) = 0 ((35 + 35m) + -4m * (7 + 7m)) = 0 (35 + 35m + (7 * -4m + 7m * -4m)) = 0 (35 + 35m + (-28m + -28m2)) = 0 Combine like terms: 35m + -28m = 7m (35 + 7m + -28m2) = 0 Solving 35 + 7m + -28m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '7'. 7(5 + m + -4m2) = 0 Factor a trinomial. 7((5 + -4m)(1 + m)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(5 + -4m)' equal to zero and attempt to solve: Simplifying 5 + -4m = 0 Solving 5 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4m = 0 + -5 -4m = 0 + -5 Combine like terms: 0 + -5 = -5 -4m = -5 Divide each side by '-4'. m = 1.25 Simplifying m = 1.25Subproblem 2
Set the factor '(1 + m)' equal to zero and attempt to solve: Simplifying 1 + m = 0 Solving 1 + m = 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 + m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + m = 0 + -1 m = 0 + -1 Combine like terms: 0 + -1 = -1 m = -1 Simplifying m = -1Solution
m = {1.25, -1}
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