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Simplifying n2 = -36 + -12n Solving n2 = -36 + -12n Solving for variable 'n'. Reorder the terms: 36 + 12n + n2 = -36 + -12n + 36 + 12n Reorder the terms: 36 + 12n + n2 = -36 + 36 + -12n + 12n Combine like terms: -36 + 36 = 0 36 + 12n + n2 = 0 + -12n + 12n 36 + 12n + n2 = -12n + 12n Combine like terms: -12n + 12n = 0 36 + 12n + n2 = 0 Factor a trinomial. (6 + n)(6 + n) = 0Subproblem 1
Set the factor '(6 + n)' equal to zero and attempt to solve: Simplifying 6 + n = 0 Solving 6 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + n = 0 + -6 n = 0 + -6 Combine like terms: 0 + -6 = -6 n = -6 Simplifying n = -6Subproblem 2
Set the factor '(6 + n)' equal to zero and attempt to solve: Simplifying 6 + n = 0 Solving 6 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + n = 0 + -6 n = 0 + -6 Combine like terms: 0 + -6 = -6 n = -6 Simplifying n = -6Solution
n = {-6, -6}
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