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Simplifying 18m3 + 15m2 = 7m Reorder the terms: 15m2 + 18m3 = 7m Solving 15m2 + 18m3 = 7m Solving for variable 'm'. Reorder the terms: -7m + 15m2 + 18m3 = 7m + -7m Combine like terms: 7m + -7m = 0 -7m + 15m2 + 18m3 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-7 + 15m + 18m2) = 0 Factor a trinomial. m((-7 + -6m)(1 + -3m)) = 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 '(-7 + -6m)' equal to zero and attempt to solve: Simplifying -7 + -6m = 0 Solving -7 + -6m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -6m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6m = 0 + 7 -6m = 0 + 7 Combine like terms: 0 + 7 = 7 -6m = 7 Divide each side by '-6'. m = -1.166666667 Simplifying m = -1.166666667Subproblem 3
Set the factor '(1 + -3m)' equal to zero and attempt to solve: Simplifying 1 + -3m = 0 Solving 1 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 0 + -1 -3m = 0 + -1 Combine like terms: 0 + -1 = -1 -3m = -1 Divide each side by '-3'. m = 0.3333333333 Simplifying m = 0.3333333333Solution
m = {0, -1.166666667, 0.3333333333}
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