(x+5)(x+5)=22x-11

Solution for (x+5)(x+5)=22x-11 equation:

Simplifying
(x + 5)(x + 5) = 22x + -11

Reorder the terms:
(5 + x)(x + 5) = 22x + -11

Reorder the terms:
(5 + x)(5 + x) = 22x + -11

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = 22x + -11
((5 * 5 + x * 5) + x(5 + x)) = 22x + -11
((25 + 5x) + x(5 + x)) = 22x + -11
(25 + 5x + (5 * x + x * x)) = 22x + -11
(25 + 5x + (5x + x2)) = 22x + -11

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = 22x + -11

Reorder the terms:
25 + 10x + x2 = -11 + 22x

Solving
25 + 10x + x2 = -11 + 22x

Solving for variable 'x'.

Reorder the terms:
25 + 11 + 10x + -22x + x2 = -11 + 22x + 11 + -22x

Combine like terms: 25 + 11 = 36
36 + 10x + -22x + x2 = -11 + 22x + 11 + -22x

Combine like terms: 10x + -22x = -12x
36 + -12x + x2 = -11 + 22x + 11 + -22x

Reorder the terms:
36 + -12x + x2 = -11 + 11 + 22x + -22x

Combine like terms: -11 + 11 = 0
36 + -12x + x2 = 0 + 22x + -22x
36 + -12x + x2 = 22x + -22x

Combine like terms: 22x + -22x = 0
36 + -12x + x2 = 0

Factor a trinomial.
(6 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {6, 6}