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Simplifying 9m(2m + -8n + 1) = 0 Reorder the terms: 9m(1 + 2m + -8n) = 0 (1 * 9m + 2m * 9m + -8n * 9m) = 0 Reorder the terms: (9m + -72mn + 18m2) = 0 (9m + -72mn + 18m2) = 0 Solving 9m + -72mn + 18m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '9m'. 9m(1 + -8n + 2m) = 0 Ignore the factor 9.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 '(1 + -8n + 2m)' equal to zero and attempt to solve: Simplifying 1 + -8n + 2m = 0 Reorder the terms: 1 + 2m + -8n = 0 Solving 1 + 2m + -8n = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2m + -1 + -8n = 0 + -1 Reorder the terms: 1 + -1 + 2m + -8n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2m + -8n = 0 + -1 2m + -8n = 0 + -1 Combine like terms: 0 + -1 = -1 2m + -8n = -1 Add '8n' to each side of the equation. 2m + -8n + 8n = -1 + 8n Combine like terms: -8n + 8n = 0 2m + 0 = -1 + 8n 2m = -1 + 8n Divide each side by '2'. m = -0.5 + 4n Simplifying m = -0.5 + 4nSolution
m = {0, -0.5 + 4n}
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