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Simplifying 8m(3m + 2x) = 0 (3m * 8m + 2x * 8m) = 0 Reorder the terms: (16mx + 24m2) = 0 (16mx + 24m2) = 0 Solving 16mx + 24m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '8m'. 8m(2x + 3m) = 0 Ignore the factor 8.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 '(2x + 3m)' equal to zero and attempt to solve: Simplifying 2x + 3m = 0 Reorder the terms: 3m + 2x = 0 Solving 3m + 2x = 0 Move all terms containing m to the left, all other terms to the right. Add '-2x' to each side of the equation. 3m + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 3m + 0 = 0 + -2x 3m = 0 + -2x Remove the zero: 3m = -2x Divide each side by '3'. m = -0.6666666667x Simplifying m = -0.6666666667xSolution
m = {0, -0.6666666667x}
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