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Simplifying m2 + 3m + -18 = 10 Reorder the terms: -18 + 3m + m2 = 10 Solving -18 + 3m + m2 = 10 Solving for variable 'm'. Reorder the terms: -18 + -10 + 3m + m2 = 10 + -10 Combine like terms: -18 + -10 = -28 -28 + 3m + m2 = 10 + -10 Combine like terms: 10 + -10 = 0 -28 + 3m + m2 = 0 Factor a trinomial. (-7 + -1m)(4 + -1m) = 0Subproblem 1
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 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-7, 4}
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