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Simplifying 9m3 + 59m2 + -28m = 0 Reorder the terms: -28m + 59m2 + 9m3 = 0 Solving -28m + 59m2 + 9m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-28 + 59m + 9m2) = 0 Factor a trinomial. m((-7 + -1m)(4 + -9m)) = 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 '(-7 + -1m)' equal to zero and attempt to solve: Simplifying -7 + -1m = 0 Solving -7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1m = 0 + 7 -1m = 0 + 7 Combine like terms: 0 + 7 = 7 -1m = 7 Divide each side by '-1'. m = -7 Simplifying m = -7Subproblem 3
Set the factor '(4 + -9m)' equal to zero and attempt to solve: Simplifying 4 + -9m = 0 Solving 4 + -9m = 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 + -9m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9m = 0 + -4 -9m = 0 + -4 Combine like terms: 0 + -4 = -4 -9m = -4 Divide each side by '-9'. m = 0.4444444444 Simplifying m = 0.4444444444Solution
m = {0, -7, 0.4444444444}
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