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Simplifying 3m3 + -63m2 + -300m = 0 Reorder the terms: -300m + -63m2 + 3m3 = 0 Solving -300m + -63m2 + 3m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3m'. 3m(-100 + -21m + m2) = 0 Factor a trinomial. 3m((-4 + -1m)(25 + -1m)) = 0 Ignore the factor 3.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 '(25 + -1m)' equal to zero and attempt to solve: Simplifying 25 + -1m = 0 Solving 25 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1m = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1m = 0 + -25 -1m = 0 + -25 Combine like terms: 0 + -25 = -25 -1m = -25 Divide each side by '-1'. m = 25 Simplifying m = 25Solution
m = {0, -4, 25}
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