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Simplifying 21m2 = 4 + -8m Solving 21m2 = 4 + -8m Solving for variable 'm'. Reorder the terms: -4 + 8m + 21m2 = 4 + -8m + -4 + 8m Reorder the terms: -4 + 8m + 21m2 = 4 + -4 + -8m + 8m Combine like terms: 4 + -4 = 0 -4 + 8m + 21m2 = 0 + -8m + 8m -4 + 8m + 21m2 = -8m + 8m Combine like terms: -8m + 8m = 0 -4 + 8m + 21m2 = 0 Factor a trinomial. (-2 + -3m)(2 + -7m) = 0Subproblem 1
Set the factor '(-2 + -3m)' equal to zero and attempt to solve: Simplifying -2 + -3m = 0 Solving -2 + -3m = 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 + -3m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3m = 0 + 2 -3m = 0 + 2 Combine like terms: 0 + 2 = 2 -3m = 2 Divide each side by '-3'. m = -0.6666666667 Simplifying m = -0.6666666667Subproblem 2
Set the factor '(2 + -7m)' equal to zero and attempt to solve: Simplifying 2 + -7m = 0 Solving 2 + -7m = 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 + -7m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7m = 0 + -2 -7m = 0 + -2 Combine like terms: 0 + -2 = -2 -7m = -2 Divide each side by '-7'. m = 0.2857142857 Simplifying m = 0.2857142857Solution
m = {-0.6666666667, 0.2857142857}
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