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Simplifying 8m3 + 9m2 + -45m = 0 Reorder the terms: -45m + 9m2 + 8m3 = 0 Solving -45m + 9m2 + 8m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-45 + 9m + 8m2) = 0 Factor a trinomial. m((-3 + -1m)(15 + -8m)) = 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 '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3Subproblem 3
Set the factor '(15 + -8m)' equal to zero and attempt to solve: Simplifying 15 + -8m = 0 Solving 15 + -8m = 0 Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -8m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8m = 0 + -15 -8m = 0 + -15 Combine like terms: 0 + -15 = -15 -8m = -15 Divide each side by '-8'. m = 1.875 Simplifying m = 1.875Solution
m = {0, -3, 1.875}
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