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Simplifying 7m2 + -23m + -20 = 0 Reorder the terms: -20 + -23m + 7m2 = 0 Solving -20 + -23m + 7m2 = 0 Solving for variable 'm'. Factor a trinomial. (-5 + -7m)(4 + -1m) = 0Subproblem 1
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 = -0.7142857143Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4Solution
m = {-0.7142857143, 4}
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