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Simplifying 6m3 + 5m2 = 4m Reorder the terms: 5m2 + 6m3 = 4m Solving 5m2 + 6m3 = 4m Solving for variable 'm'. Reorder the terms: -4m + 5m2 + 6m3 = 4m + -4m Combine like terms: 4m + -4m = 0 -4m + 5m2 + 6m3 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-4 + 5m + 6m2) = 0 Factor a trinomial. m((-4 + -3m)(1 + -2m)) = 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 '(-4 + -3m)' equal to zero and attempt to solve: Simplifying -4 + -3m = 0 Solving -4 + -3m = 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 + -3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3m = 0 + 4 -3m = 0 + 4 Combine like terms: 0 + 4 = 4 -3m = 4 Divide each side by '-3'. m = -1.333333333 Simplifying m = -1.333333333Subproblem 3
Set the factor '(1 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 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 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5Solution
m = {0, -1.333333333, 0.5}
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