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Simplifying 4m3 + 4m2 + -80m = 0 Reorder the terms: -80m + 4m2 + 4m3 = 0 Solving -80m + 4m2 + 4m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(-20 + m + m2) = 0 Factor a trinomial. 4m((-5 + -1m)(4 + -1m)) = 0 Ignore the factor 4.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 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 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 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 3
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {0, -5, 4}
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