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Simplifying 3m2 + -1(2m) + (4m) = 0 Remove parenthesis around (2m) 3m2 + -1 * 2m + (4m) = 0 Multiply -1 * 2 3m2 + -2m + (4m) = 0 Reorder the terms: -2m + (4m) + 3m2 = 0 Combine like terms: -2m + (4m) = 2m 2m + 3m2 = 0 Solving 2m + 3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(2 + 3m) = 0Subproblem 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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