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Simplifying -8m3 + 10m = 0 Reorder the terms: 10m + -8m3 = 0 Solving 10m + -8m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(5 + -4m2) = 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 '(5 + -4m2)' equal to zero and attempt to solve: Simplifying 5 + -4m2 = 0 Solving 5 + -4m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4m2 = 0 + -5 -4m2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4m2 = -5 Divide each side by '-4'. m2 = 1.25 Simplifying m2 = 1.25 Take the square root of each side: m = {-1.118033989, 1.118033989}Solution
m = {0, -1.118033989, 1.118033989}
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