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Simplifying 126m2 + -444m = -288 Reorder the terms: -444m + 126m2 = -288 Solving -444m + 126m2 = -288 Solving for variable 'm'. Reorder the terms: 288 + -444m + 126m2 = -288 + 288 Combine like terms: -288 + 288 = 0 288 + -444m + 126m2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(48 + -74m + 21m2) = 0 Factor a trinomial. 6((6 + -7m)(8 + -3m)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(6 + -7m)' equal to zero and attempt to solve: Simplifying 6 + -7m = 0 Solving 6 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7m = 0 + -6 -7m = 0 + -6 Combine like terms: 0 + -6 = -6 -7m = -6 Divide each side by '-7'. m = 0.8571428571 Simplifying m = 0.8571428571Subproblem 2
Set the factor '(8 + -3m)' equal to zero and attempt to solve: Simplifying 8 + -3m = 0 Solving 8 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3m = 0 + -8 -3m = 0 + -8 Combine like terms: 0 + -8 = -8 -3m = -8 Divide each side by '-3'. m = 2.666666667 Simplifying m = 2.666666667Solution
m = {0.8571428571, 2.666666667}
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