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Simplifying 2n2 = -7n + -6 Reorder the terms: 2n2 = -6 + -7n Solving 2n2 = -6 + -7n Solving for variable 'n'. Reorder the terms: 6 + 7n + 2n2 = -6 + -7n + 6 + 7n Reorder the terms: 6 + 7n + 2n2 = -6 + 6 + -7n + 7n Combine like terms: -6 + 6 = 0 6 + 7n + 2n2 = 0 + -7n + 7n 6 + 7n + 2n2 = -7n + 7n Combine like terms: -7n + 7n = 0 6 + 7n + 2n2 = 0 Factor a trinomial. (2 + n)(3 + 2n) = 0Subproblem 1
Set the factor '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2Subproblem 2
Set the factor '(3 + 2n)' equal to zero and attempt to solve: Simplifying 3 + 2n = 0 Solving 3 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 0 + -3 2n = 0 + -3 Combine like terms: 0 + -3 = -3 2n = -3 Divide each side by '2'. n = -1.5 Simplifying n = -1.5Solution
n = {-2, -1.5}
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