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Simplifying 49m2 + -84 = 56m Reorder the terms: -84 + 49m2 = 56m Solving -84 + 49m2 = 56m Solving for variable 'm'. Reorder the terms: -84 + -56m + 49m2 = 56m + -56m Combine like terms: 56m + -56m = 0 -84 + -56m + 49m2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-12 + -8m + 7m2) = 0 Factor a trinomial. 7((-6 + -7m)(2 + -1m)) = 0 Ignore the factor 7.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 '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2Solution
m = {-0.8571428571, 2}
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