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Simplifying 8m(2m + -3) + -3m2 = 0 Reorder the terms: 8m(-3 + 2m) + -3m2 = 0 (-3 * 8m + 2m * 8m) + -3m2 = 0 (-24m + 16m2) + -3m2 = 0 Combine like terms: 16m2 + -3m2 = 13m2 -24m + 13m2 = 0 Solving -24m + 13m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-24 + 13m) = 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 '(-24 + 13m)' equal to zero and attempt to solve: Simplifying -24 + 13m = 0 Solving -24 + 13m = 0 Move all terms containing m to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 13m = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 13m = 0 + 24 13m = 0 + 24 Combine like terms: 0 + 24 = 24 13m = 24 Divide each side by '13'. m = 1.846153846 Simplifying m = 1.846153846Solution
m = {0, 1.846153846}
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