n^2=-22n-121

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Solution for n^2=-22n-121 equation:


Simplifying
n2 = -22n + -121

Reorder the terms:
n2 = -121 + -22n

Solving
n2 = -121 + -22n

Solving for variable 'n'.

Reorder the terms:
121 + 22n + n2 = -121 + -22n + 121 + 22n

Reorder the terms:
121 + 22n + n2 = -121 + 121 + -22n + 22n

Combine like terms: -121 + 121 = 0
121 + 22n + n2 = 0 + -22n + 22n
121 + 22n + n2 = -22n + 22n

Combine like terms: -22n + 22n = 0
121 + 22n + n2 = 0

Factor a trinomial.
(11 + n)(11 + n) = 0

Subproblem 1

Set the factor '(11 + n)' equal to zero and attempt to solve: Simplifying 11 + n = 0 Solving 11 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + n = 0 + -11 n = 0 + -11 Combine like terms: 0 + -11 = -11 n = -11 Simplifying n = -11

Subproblem 2

Set the factor '(11 + n)' equal to zero and attempt to solve: Simplifying 11 + n = 0 Solving 11 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + n = 0 + -11 n = 0 + -11 Combine like terms: 0 + -11 = -11 n = -11 Simplifying n = -11

Solution

n = {-11, -11}

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