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Simplifying 6m3 + -3m = 7m2 Reorder the terms: -3m + 6m3 = 7m2 Solving -3m + 6m3 = 7m2 Solving for variable 'm'. Reorder the terms: -3m + -7m2 + 6m3 = 7m2 + -7m2 Combine like terms: 7m2 + -7m2 = 0 -3m + -7m2 + 6m3 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-3 + -7m + 6m2) = 0 Factor a trinomial. m((-1 + -3m)(3 + -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 '(-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 = -0.3333333333Subproblem 3
Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 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 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5Solution
m = {0, -0.3333333333, 1.5}
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