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Simplifying 0 = 126m2 + -113m + -63 Reorder the terms: 0 = -63 + -113m + 126m2 Solving 0 = -63 + -113m + 126m2 Solving for variable 'm'. Combine like terms: 0 + 63 = 63 63 + 113m + -126m2 = -63 + -113m + 126m2 + 63 + 113m + -126m2 Reorder the terms: 63 + 113m + -126m2 = -63 + 63 + -113m + 113m + 126m2 + -126m2 Combine like terms: -63 + 63 = 0 63 + 113m + -126m2 = 0 + -113m + 113m + 126m2 + -126m2 63 + 113m + -126m2 = -113m + 113m + 126m2 + -126m2 Combine like terms: -113m + 113m = 0 63 + 113m + -126m2 = 0 + 126m2 + -126m2 63 + 113m + -126m2 = 126m2 + -126m2 Combine like terms: 126m2 + -126m2 = 0 63 + 113m + -126m2 = 0 Factor a trinomial. (9 + -7m)(7 + 18m) = 0Subproblem 1
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 = 1.285714286Subproblem 2
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 = -0.3888888889Solution
m = {1.285714286, -0.3888888889}
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