x^2+22x=-121

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Solution for x^2+22x=-121 equation:


Simplifying
x2 + 22x = -121

Reorder the terms:
22x + x2 = -121

Solving
22x + x2 = -121

Solving for variable 'x'.

Reorder the terms:
121 + 22x + x2 = -121 + 121

Combine like terms: -121 + 121 = 0
121 + 22x + x2 = 0

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

Subproblem 1

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

Subproblem 2

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

Solution

x = {-11, -11}

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