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Simplifying -245 = -126m + -35m2 Solving -245 = -126m + -35m2 Solving for variable 'm'. Reorder the terms: -245 + 126m + 35m2 = -126m + 126m + -35m2 + 35m2 Combine like terms: -126m + 126m = 0 -245 + 126m + 35m2 = 0 + -35m2 + 35m2 -245 + 126m + 35m2 = -35m2 + 35m2 Combine like terms: -35m2 + 35m2 = 0 -245 + 126m + 35m2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-35 + 18m + 5m2) = 0 Factor a trinomial. 7((-5 + -1m)(7 + -5m)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5Subproblem 2
Set the factor '(7 + -5m)' equal to zero and attempt to solve: Simplifying 7 + -5m = 0 Solving 7 + -5m = 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 + -5m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5m = 0 + -7 -5m = 0 + -7 Combine like terms: 0 + -7 = -7 -5m = -7 Divide each side by '-5'. m = 1.4 Simplifying m = 1.4Solution
m = {-5, 1.4}
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