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Simplifying 9m2 = m2 + -4m + 2m2 Reorder the terms: 9m2 = -4m + m2 + 2m2 Combine like terms: m2 + 2m2 = 3m2 9m2 = -4m + 3m2 Solving 9m2 = -4m + 3m2 Solving for variable 'm'. Reorder the terms: 4m + 9m2 + -3m2 = -4m + 3m2 + 4m + -3m2 Combine like terms: 9m2 + -3m2 = 6m2 4m + 6m2 = -4m + 3m2 + 4m + -3m2 Reorder the terms: 4m + 6m2 = -4m + 4m + 3m2 + -3m2 Combine like terms: -4m + 4m = 0 4m + 6m2 = 0 + 3m2 + -3m2 4m + 6m2 = 3m2 + -3m2 Combine like terms: 3m2 + -3m2 = 0 4m + 6m2 = 0 Factor out the Greatest Common Factor (GCF), '2m'. 2m(2 + 3m) = 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 '(2 + 3m)' equal to zero and attempt to solve: Simplifying 2 + 3m = 0 Solving 2 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3m = 0 + -2 3m = 0 + -2 Combine like terms: 0 + -2 = -2 3m = -2 Divide each side by '3'. m = -0.6666666667 Simplifying m = -0.6666666667Solution
m = {0, -0.6666666667}
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