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Simplifying (9m + 10) * 2m = 0 Reorder the terms: (10 + 9m) * 2m = 0 Reorder the terms for easier multiplication: 2m(10 + 9m) = 0 (10 * 2m + 9m * 2m) = 0 (20m + 18m2) = 0 Solving 20m + 18m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(10 + 9m) = 0 Ignore the factor 2.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 '(10 + 9m)' equal to zero and attempt to solve: Simplifying 10 + 9m = 0 Solving 10 + 9m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9m = 0 + -10 9m = 0 + -10 Combine like terms: 0 + -10 = -10 9m = -10 Divide each side by '9'. m = -1.111111111 Simplifying m = -1.111111111Solution
m = {0, -1.111111111}
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