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Simplifying n2 = -21 + -10n Solving n2 = -21 + -10n Solving for variable 'n'. Reorder the terms: 21 + 10n + n2 = -21 + -10n + 21 + 10n Reorder the terms: 21 + 10n + n2 = -21 + 21 + -10n + 10n Combine like terms: -21 + 21 = 0 21 + 10n + n2 = 0 + -10n + 10n 21 + 10n + n2 = -10n + 10n Combine like terms: -10n + 10n = 0 21 + 10n + n2 = 0 Factor a trinomial. (7 + n)(3 + n) = 0Subproblem 1
Set the factor '(7 + n)' equal to zero and attempt to solve: Simplifying 7 + n = 0 Solving 7 + n = 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 + n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + n = 0 + -7 n = 0 + -7 Combine like terms: 0 + -7 = -7 n = -7 Simplifying n = -7Subproblem 2
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 = -3Solution
n = {-7, -3}
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