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Simplifying 6m3 + -18m2 + -780m = 0 Reorder the terms: -780m + -18m2 + 6m3 = 0 Solving -780m + -18m2 + 6m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '6m'. 6m(-130 + -3m + m2) = 0 Factor a trinomial. 6m((-10 + -1m)(13 + -1m)) = 0 Ignore the factor 6.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 '(-10 + -1m)' equal to zero and attempt to solve: Simplifying -10 + -1m = 0 Solving -10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1m = 0 + 10 -1m = 0 + 10 Combine like terms: 0 + 10 = 10 -1m = 10 Divide each side by '-1'. m = -10 Simplifying m = -10Subproblem 3
Set the factor '(13 + -1m)' equal to zero and attempt to solve: Simplifying 13 + -1m = 0 Solving 13 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1m = 0 + -13 -1m = 0 + -13 Combine like terms: 0 + -13 = -13 -1m = -13 Divide each side by '-1'. m = 13 Simplifying m = 13Solution
m = {0, -10, 13}
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