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Simplifying 14n2 + 35 = -59n Reorder the terms: 35 + 14n2 = -59n Solving 35 + 14n2 = -59n Solving for variable 'n'. Reorder the terms: 35 + 59n + 14n2 = -59n + 59n Combine like terms: -59n + 59n = 0 35 + 59n + 14n2 = 0 Factor a trinomial. (7 + 2n)(5 + 7n) = 0Subproblem 1
Set the factor '(7 + 2n)' equal to zero and attempt to solve: Simplifying 7 + 2n = 0 Solving 7 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2n = 0 + -7 2n = 0 + -7 Combine like terms: 0 + -7 = -7 2n = -7 Divide each side by '2'. n = -3.5 Simplifying n = -3.5Subproblem 2
Set the factor '(5 + 7n)' equal to zero and attempt to solve: Simplifying 5 + 7n = 0 Solving 5 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7n = 0 + -5 7n = 0 + -5 Combine like terms: 0 + -5 = -5 7n = -5 Divide each side by '7'. n = -0.7142857143 Simplifying n = -0.7142857143Solution
n = {-3.5, -0.7142857143}
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