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Simplifying 7m2 + 3m + -10 = 0 Reorder the terms: -10 + 3m + 7m2 = 0 Solving -10 + 3m + 7m2 = 0 Solving for variable 'm'. Factor a trinomial. (-10 + -7m)(1 + -1m) = 0Subproblem 1
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 = -1.428571429Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {-1.428571429, 1}
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