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Simplifying 8m3 + -10m2 = 0 Reorder the terms: -10m2 + 8m3 = 0 Solving -10m2 + 8m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m2'. 2m2(-5 + 4m) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(-5 + 4m)' equal to zero and attempt to solve: Simplifying -5 + 4m = 0 Solving -5 + 4m = 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 + 4m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4m = 0 + 5 4m = 0 + 5 Combine like terms: 0 + 5 = 5 4m = 5 Divide each side by '4'. m = 1.25 Simplifying m = 1.25Solution
m = {0, 1.25}
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