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Simplifying 7(6m + 7)(m + 1) = 0 Reorder the terms: 7(7 + 6m)(m + 1) = 0 Reorder the terms: 7(7 + 6m)(1 + m) = 0 Multiply (7 + 6m) * (1 + m) 7(7(1 + m) + 6m * (1 + m)) = 0 7((1 * 7 + m * 7) + 6m * (1 + m)) = 0 7((7 + 7m) + 6m * (1 + m)) = 0 7(7 + 7m + (1 * 6m + m * 6m)) = 0 7(7 + 7m + (6m + 6m2)) = 0 Combine like terms: 7m + 6m = 13m 7(7 + 13m + 6m2) = 0 (7 * 7 + 13m * 7 + 6m2 * 7) = 0 (49 + 91m + 42m2) = 0 Solving 49 + 91m + 42m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '7'. 7(7 + 13m + 6m2) = 0 Factor a trinomial. 7((7 + 6m)(1 + m)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(7 + 6m)' equal to zero and attempt to solve: Simplifying 7 + 6m = 0 Solving 7 + 6m = 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 + 6m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6m = 0 + -7 6m = 0 + -7 Combine like terms: 0 + -7 = -7 6m = -7 Divide each side by '6'. m = -1.166666667 Simplifying m = -1.166666667Subproblem 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 = {-1.166666667, -1}
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