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Simplifying 2m3 + -90m2 + -392m = 0 Reorder the terms: -392m + -90m2 + 2m3 = 0 Solving -392m + -90m2 + 2m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(-196 + -45m + m2) = 0 Factor a trinomial. 2m((-4 + -1m)(49 + -1m)) = 0 Ignore the factor 2.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 '(-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 = -4Subproblem 3
Set the factor '(49 + -1m)' equal to zero and attempt to solve: Simplifying 49 + -1m = 0 Solving 49 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1m = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1m = 0 + -49 -1m = 0 + -49 Combine like terms: 0 + -49 = -49 -1m = -49 Divide each side by '-1'. m = 49 Simplifying m = 49Solution
m = {0, -4, 49}
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