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Simplifying 4m3 + -64m2 + -900m = 0 Reorder the terms: -900m + -64m2 + 4m3 = 0 Solving -900m + -64m2 + 4m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(-225 + -16m + m2) = 0 Factor a trinomial. 4m((-9 + -1m)(25 + -1m)) = 0 Ignore the factor 4.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 '(-9 + -1m)' equal to zero and attempt to solve: Simplifying -9 + -1m = 0 Solving -9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1m = 0 + 9 -1m = 0 + 9 Combine like terms: 0 + 9 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9Subproblem 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, -9, 25}
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