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Simplifying 126m2 + -113m + -63 = 0 Reorder the terms: -63 + -113m + 126m2 = 0 Solving -63 + -113m + 126m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -18m)(9 + -7m) = 0Subproblem 1
Set the factor '(-7 + -18m)' equal to zero and attempt to solve: Simplifying -7 + -18m = 0 Solving -7 + -18m = 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 + -18m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -18m = 0 + 7 -18m = 0 + 7 Combine like terms: 0 + 7 = 7 -18m = 7 Divide each side by '-18'. m = -0.3888888889 Simplifying m = -0.3888888889Subproblem 2
Set the factor '(9 + -7m)' equal to zero and attempt to solve: Simplifying 9 + -7m = 0 Solving 9 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7m = 0 + -9 -7m = 0 + -9 Combine like terms: 0 + -9 = -9 -7m = -9 Divide each side by '-7'. m = 1.285714286 Simplifying m = 1.285714286Solution
m = {-0.3888888889, 1.285714286}
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