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Simplifying m2 + -2m + -155 = -12 Reorder the terms: -155 + -2m + m2 = -12 Solving -155 + -2m + m2 = -12 Solving for variable 'm'. Reorder the terms: -155 + 12 + -2m + m2 = -12 + 12 Combine like terms: -155 + 12 = -143 -143 + -2m + m2 = -12 + 12 Combine like terms: -12 + 12 = 0 -143 + -2m + m2 = 0 Factor a trinomial. (-11 + -1m)(13 + -1m) = 0Subproblem 1
Set the factor '(-11 + -1m)' equal to zero and attempt to solve: Simplifying -11 + -1m = 0 Solving -11 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1m = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1m = 0 + 11 -1m = 0 + 11 Combine like terms: 0 + 11 = 11 -1m = 11 Divide each side by '-1'. m = -11 Simplifying m = -11Subproblem 2
Set the factor '(13 + -1m)' equal to zero and attempt to solve: Simplifying 13 + -1m = 0 Solving 13 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1m = 0 + -13 -1m = 0 + -13 Combine like terms: 0 + -13 = -13 -1m = -13 Divide each side by '-1'. m = 13 Simplifying m = 13Solution
m = {-11, 13}
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