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Simplifying m2 + -7m + -330 = 0 Reorder the terms: -330 + -7m + m2 = 0 Solving -330 + -7m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-15 + -1m)(22 + -1m) = 0Subproblem 1
Set the factor '(-15 + -1m)' equal to zero and attempt to solve: Simplifying -15 + -1m = 0 Solving -15 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1m = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1m = 0 + 15 -1m = 0 + 15 Combine like terms: 0 + 15 = 15 -1m = 15 Divide each side by '-1'. m = -15 Simplifying m = -15Subproblem 2
Set the factor '(22 + -1m)' equal to zero and attempt to solve: Simplifying 22 + -1m = 0 Solving 22 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1m = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1m = 0 + -22 -1m = 0 + -22 Combine like terms: 0 + -22 = -22 -1m = -22 Divide each side by '-1'. m = 22 Simplifying m = 22Solution
m = {-15, 22}
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