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Simplifying 36m3 + -25m = 0 Reorder the terms: -25m + 36m3 = 0 Solving -25m + 36m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-25 + 36m2) = 0 Factor a difference between two squares. m((5 + 6m)(-5 + 6m)) = 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 '(5 + 6m)' equal to zero and attempt to solve: Simplifying 5 + 6m = 0 Solving 5 + 6m = 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 + 6m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6m = 0 + -5 6m = 0 + -5 Combine like terms: 0 + -5 = -5 6m = -5 Divide each side by '6'. m = -0.8333333333 Simplifying m = -0.8333333333Subproblem 3
Set the factor '(-5 + 6m)' equal to zero and attempt to solve: Simplifying -5 + 6m = 0 Solving -5 + 6m = 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 + 6m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6m = 0 + 5 6m = 0 + 5 Combine like terms: 0 + 5 = 5 6m = 5 Divide each side by '6'. m = 0.8333333333 Simplifying m = 0.8333333333Solution
m = {0, -0.8333333333, 0.8333333333}
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