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Simplifying n2 = -10 + -7n Solving n2 = -10 + -7n Solving for variable 'n'. Reorder the terms: 10 + 7n + n2 = -10 + -7n + 10 + 7n Reorder the terms: 10 + 7n + n2 = -10 + 10 + -7n + 7n Combine like terms: -10 + 10 = 0 10 + 7n + n2 = 0 + -7n + 7n 10 + 7n + n2 = -7n + 7n Combine like terms: -7n + 7n = 0 10 + 7n + n2 = 0 Factor a trinomial. (5 + n)(2 + n) = 0Subproblem 1
Set the factor '(5 + n)' equal to zero and attempt to solve: Simplifying 5 + n = 0 Solving 5 + n = 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 + n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n = 0 + -5 n = 0 + -5 Combine like terms: 0 + -5 = -5 n = -5 Simplifying n = -5Subproblem 2
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 = -2Solution
n = {-5, -2}
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