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Simplifying 30m3 + -21m2 + -135m = 0 Reorder the terms: -135m + -21m2 + 30m3 = 0 Solving -135m + -21m2 + 30m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(-45 + -7m + 10m2) = 0 Factor a trinomial. 3m((-9 + -5m)(5 + -2m)) = 0 Ignore the factor 3.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 '(-9 + -5m)' equal to zero and attempt to solve: Simplifying -9 + -5m = 0 Solving -9 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5m = 0 + 9 -5m = 0 + 9 Combine like terms: 0 + 9 = 9 -5m = 9 Divide each side by '-5'. m = -1.8 Simplifying m = -1.8Subproblem 3
Set the factor '(5 + -2m)' equal to zero and attempt to solve: Simplifying 5 + -2m = 0 Solving 5 + -2m = 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 + -2m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 0 + -5 -2m = 0 + -5 Combine like terms: 0 + -5 = -5 -2m = -5 Divide each side by '-2'. m = 2.5 Simplifying m = 2.5Solution
m = {0, -1.8, 2.5}
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