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Simplifying 21m2 + -37m + 12 = 0 Reorder the terms: 12 + -37m + 21m2 = 0 Solving 12 + -37m + 21m2 = 0 Solving for variable 'm'. Factor a trinomial. (3 + -7m)(4 + -3m) = 0Subproblem 1
Set the factor '(3 + -7m)' equal to zero and attempt to solve: Simplifying 3 + -7m = 0 Solving 3 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7m = 0 + -3 -7m = 0 + -3 Combine like terms: 0 + -3 = -3 -7m = -3 Divide each side by '-7'. m = 0.4285714286 Simplifying m = 0.4285714286Subproblem 2
Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333Solution
m = {0.4285714286, 1.333333333}
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