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Simplifying 7m2 + 38m + 40 = 0 Reorder the terms: 40 + 38m + 7m2 = 0 Solving 40 + 38m + 7m2 = 0 Solving for variable 'm'. Factor a trinomial. (4 + m)(10 + 7m) = 0Subproblem 1
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 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 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 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 = {-4, -1.428571429}
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