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Simplifying 7n2 = -24 + -29n Solving 7n2 = -24 + -29n Solving for variable 'n'. Reorder the terms: 24 + 29n + 7n2 = -24 + -29n + 24 + 29n Reorder the terms: 24 + 29n + 7n2 = -24 + 24 + -29n + 29n Combine like terms: -24 + 24 = 0 24 + 29n + 7n2 = 0 + -29n + 29n 24 + 29n + 7n2 = -29n + 29n Combine like terms: -29n + 29n = 0 24 + 29n + 7n2 = 0 Factor a trinomial. (3 + n)(8 + 7n) = 0Subproblem 1
Set the factor '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 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 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Subproblem 2
Set the factor '(8 + 7n)' equal to zero and attempt to solve: Simplifying 8 + 7n = 0 Solving 8 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7n = 0 + -8 7n = 0 + -8 Combine like terms: 0 + -8 = -8 7n = -8 Divide each side by '7'. n = -1.142857143 Simplifying n = -1.142857143Solution
n = {-3, -1.142857143}
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