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Simplifying 7m = 9m(m + 4) Reorder the terms: 7m = 9m(4 + m) 7m = (4 * 9m + m * 9m) 7m = (36m + 9m2) Solving 7m = 36m + 9m2 Solving for variable 'm'. Combine like terms: 7m + -36m = -29m -29m + -9m2 = 36m + 9m2 + -36m + -9m2 Reorder the terms: -29m + -9m2 = 36m + -36m + 9m2 + -9m2 Combine like terms: 36m + -36m = 0 -29m + -9m2 = 0 + 9m2 + -9m2 -29m + -9m2 = 9m2 + -9m2 Combine like terms: 9m2 + -9m2 = 0 -29m + -9m2 = 0 Factor out the Greatest Common Factor (GCF), '-1m'. -1m(29 + 9m) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(29 + 9m)' equal to zero and attempt to solve: Simplifying 29 + 9m = 0 Solving 29 + 9m = 0 Move all terms containing m to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 9m = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 9m = 0 + -29 9m = 0 + -29 Combine like terms: 0 + -29 = -29 9m = -29 Divide each side by '9'. m = -3.222222222 Simplifying m = -3.222222222Solution
m = {0, -3.222222222}
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