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Simplifying 140m2 + -151m + -70 = 0 Reorder the terms: -70 + -151m + 140m2 = 0 Solving -70 + -151m + 140m2 = 0 Solving for variable 'm'. Factor a trinomial. (-7 + -20m)(10 + -7m) = 0Subproblem 1
Set the factor '(-7 + -20m)' equal to zero and attempt to solve: Simplifying -7 + -20m = 0 Solving -7 + -20m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -20m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -20m = 0 + 7 -20m = 0 + 7 Combine like terms: 0 + 7 = 7 -20m = 7 Divide each side by '-20'. m = -0.35 Simplifying m = -0.35Subproblem 2
Set the factor '(10 + -7m)' equal to zero and attempt to solve: Simplifying 10 + -7m = 0 Solving 10 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7m = 0 + -10 -7m = 0 + -10 Combine like terms: 0 + -10 = -10 -7m = -10 Divide each side by '-7'. m = 1.428571429 Simplifying m = 1.428571429Solution
m = {-0.35, 1.428571429}
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