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Simplifying 2m + 3m2 + -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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