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Simplifying 3m(7m + -8) = 36 Reorder the terms: 3m(-8 + 7m) = 36 (-8 * 3m + 7m * 3m) = 36 (-24m + 21m2) = 36 Solving -24m + 21m2 = 36 Solving for variable 'm'. Reorder the terms: -36 + -24m + 21m2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + -24m + 21m2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + -8m + 7m2) = 0 Factor a trinomial. 3((-6 + -7m)(2 + -1m)) = 0 Ignore the factor 3.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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