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Simplifying m2 + 10m + -66 = -10 Reorder the terms: -66 + 10m + m2 = -10 Solving -66 + 10m + m2 = -10 Solving for variable 'm'. Reorder the terms: -66 + 10 + 10m + m2 = -10 + 10 Combine like terms: -66 + 10 = -56 -56 + 10m + m2 = -10 + 10 Combine like terms: -10 + 10 = 0 -56 + 10m + m2 = 0 Factor a trinomial. (-14 + -1m)(4 + -1m) = 0Subproblem 1
Set the factor '(-14 + -1m)' equal to zero and attempt to solve: Simplifying -14 + -1m = 0 Solving -14 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1m = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1m = 0 + 14 -1m = 0 + 14 Combine like terms: 0 + 14 = 14 -1m = 14 Divide each side by '-1'. m = -14 Simplifying m = -14Subproblem 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 = {-14, 4}
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