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Simplifying 7m3 + -80m2 + 100m = 0 Reorder the terms: 100m + -80m2 + 7m3 = 0 Solving 100m + -80m2 + 7m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(100 + -80m + 7m2) = 0 Factor a trinomial. m((10 + -7m)(10 + -1m)) = 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 '(10 + -7m)' equal to zero and attempt to solve: Simplifying 10 + -7m = 0 Solving 10 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7m = 0 + -10 -7m = 0 + -10 Combine like terms: 0 + -10 = -10 -7m = -10 Divide each side by '-7'. m = 1.428571429 Simplifying m = 1.428571429Subproblem 3
Set the factor '(10 + -1m)' equal to zero and attempt to solve: Simplifying 10 + -1m = 0 Solving 10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1m = 0 + -10 -1m = 0 + -10 Combine like terms: 0 + -10 = -10 -1m = -10 Divide each side by '-1'. m = 10 Simplifying m = 10Solution
m = {0, 1.428571429, 10}
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