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Simplifying m2 + -6m + -247 = 0 Reorder the terms: -247 + -6m + m2 = 0 Solving -247 + -6m + m2 = 0 Solving for variable 'm'. Factor a trinomial. (-13 + -1m)(19 + -1m) = 0Subproblem 1
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 = -13Subproblem 2
Set the factor '(19 + -1m)' equal to zero and attempt to solve: Simplifying 19 + -1m = 0 Solving 19 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1m = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1m = 0 + -19 -1m = 0 + -19 Combine like terms: 0 + -19 = -19 -1m = -19 Divide each side by '-1'. m = 19 Simplifying m = 19Solution
m = {-13, 19}
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