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Simplifying -3m2 + -3m + 270 = 0 Reorder the terms: 270 + -3m + -3m2 = 0 Solving 270 + -3m + -3m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '3'. 3(90 + -1m + -1m2) = 0 Factor a trinomial. 3((9 + -1m)(10 + m)) = 0 Ignore the factor 3.Subproblem 1
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 2
Set the factor '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 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 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10Solution
m = {9, -10}
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