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Simplifying 14m * m + 17m + -22 = 0 Multiply m * m 14m2 + 17m + -22 = 0 Reorder the terms: -22 + 17m + 14m2 = 0 Solving -22 + 17m + 14m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -1m)(11 + -14m) = 0Subproblem 1
Set the factor '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 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 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2Subproblem 2
Set the factor '(11 + -14m)' equal to zero and attempt to solve: Simplifying 11 + -14m = 0 Solving 11 + -14m = 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 + -14m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -14m = 0 + -11 -14m = 0 + -11 Combine like terms: 0 + -11 = -11 -14m = -11 Divide each side by '-14'. m = 0.7857142857 Simplifying m = 0.7857142857Solution
m = {-2, 0.7857142857}
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