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Simplifying m2 + 30 = -17m Reorder the terms: 30 + m2 = -17m Solving 30 + m2 = -17m Solving for variable 'm'. Reorder the terms: 30 + 17m + m2 = -17m + 17m Combine like terms: -17m + 17m = 0 30 + 17m + m2 = 0 Factor a trinomial. (15 + m)(2 + m) = 0Subproblem 1
Set the factor '(15 + m)' equal to zero and attempt to solve: Simplifying 15 + m = 0 Solving 15 + m = 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 + m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + m = 0 + -15 m = 0 + -15 Combine like terms: 0 + -15 = -15 m = -15 Simplifying m = -15Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2Solution
m = {-15, -2}
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