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Simplifying 4m3 + -5mn2 = 0 Reorder the terms: -5mn2 + 4m3 = 0 Solving -5mn2 + 4m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-5n2 + 4m2) = 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 '(-5n2 + 4m2)' equal to zero and attempt to solve: Simplifying -5n2 + 4m2 = 0 Reorder the terms: 4m2 + -5n2 = 0 Solving 4m2 + -5n2 = 0 Move all terms containing m to the left, all other terms to the right. Add '5n2' to each side of the equation. 4m2 + -5n2 + 5n2 = 0 + 5n2 Combine like terms: -5n2 + 5n2 = 0 4m2 + 0 = 0 + 5n2 4m2 = 0 + 5n2 Remove the zero: 4m2 = 5n2 Divide each side by '4'. m2 = 1.25n2 Simplifying m2 = 1.25n2 Take the square root of each side: m = {-1.118033989n, 1.118033989n}Solution
m = {0, -1.118033989n, 1.118033989n}
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