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Simplifying 21m2 + -1m + -10 = 0 Reorder the terms: -10 + -1m + 21m2 = 0 Solving -10 + -1m + 21m2 = 0 Solving for variable 'm'. Factor a trinomial. (-2 + -3m)(5 + -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 '(5 + -7m)' equal to zero and attempt to solve: Simplifying 5 + -7m = 0 Solving 5 + -7m = 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 + -7m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7m = 0 + -5 -7m = 0 + -5 Combine like terms: 0 + -5 = -5 -7m = -5 Divide each side by '-7'. m = 0.7142857143 Simplifying m = 0.7142857143Solution
m = {-0.6666666667, 0.7142857143}
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