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Simplifying -6m2 = -126 + m Solving -6m2 = -126 + m Solving for variable 'm'. Reorder the terms: 126 + -1m + -6m2 = -126 + m + 126 + -1m Reorder the terms: 126 + -1m + -6m2 = -126 + 126 + m + -1m Combine like terms: -126 + 126 = 0 126 + -1m + -6m2 = 0 + m + -1m 126 + -1m + -6m2 = m + -1m Combine like terms: m + -1m = 0 126 + -1m + -6m2 = 0 Factor a trinomial. (9 + -2m)(14 + 3m) = 0Subproblem 1
Set the factor '(9 + -2m)' equal to zero and attempt to solve: Simplifying 9 + -2m = 0 Solving 9 + -2m = 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 + -2m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2m = 0 + -9 -2m = 0 + -9 Combine like terms: 0 + -9 = -9 -2m = -9 Divide each side by '-2'. m = 4.5 Simplifying m = 4.5Subproblem 2
Set the factor '(14 + 3m)' equal to zero and attempt to solve: Simplifying 14 + 3m = 0 Solving 14 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3m = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3m = 0 + -14 3m = 0 + -14 Combine like terms: 0 + -14 = -14 3m = -14 Divide each side by '3'. m = -4.666666667 Simplifying m = -4.666666667Solution
m = {4.5, -4.666666667}
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