(x+11)(x+11)=121

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Solution for (x+11)(x+11)=121 equation: 


Simplifying
(x + 11)(x + 11) = 121

Reorder the terms:
(11 + x)(x + 11) = 121

Reorder the terms:
(11 + x)(11 + x) = 121

Multiply (11 + x) * (11 + x)
(11(11 + x) + x(11 + x)) = 121
((11 * 11 + x * 11) + x(11 + x)) = 121
((121 + 11x) + x(11 + x)) = 121
(121 + 11x + (11 * x + x * x)) = 121
(121 + 11x + (11x + x2)) = 121

Combine like terms: 11x + 11x = 22x
(121 + 22x + x2) = 121

Add '-121' to each side of the equation.
121 + 22x + -121 + x2 = 121 + -121

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

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

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

Solving
22x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(22 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-22' to each side of the equation.
22 + -22 + x = 0 + -22

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

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

Simplifying
x = -22
Solution
x = {0, -22}

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