361=(x+13)(x+13)

Solution for 361=(x+13)(x+13) equation:

Simplifying
361 = (x + 13)(x + 13)

Reorder the terms:
361 = (13 + x)(x + 13)

Reorder the terms:
361 = (13 + x)(13 + x)

Multiply (13 + x) * (13 + x)
361 = (13(13 + x) + x(13 + x))
361 = ((13 * 13 + x * 13) + x(13 + x))
361 = ((169 + 13x) + x(13 + x))
361 = (169 + 13x + (13 * x + x * x))
361 = (169 + 13x + (13x + x2))

Combine like terms: 13x + 13x = 26x
361 = (169 + 26x + x2)

Solving
361 = 169 + 26x + x2

Solving for variable 'x'.

Combine like terms: 361 + -169 = 192
192 + -26x + -1x2 = 169 + 26x + x2 + -169 + -26x + -1x2

Reorder the terms:
192 + -26x + -1x2 = 169 + -169 + 26x + -26x + x2 + -1x2

Combine like terms: 169 + -169 = 0
192 + -26x + -1x2 = 0 + 26x + -26x + x2 + -1x2
192 + -26x + -1x2 = 26x + -26x + x2 + -1x2

Combine like terms: 26x + -26x = 0
192 + -26x + -1x2 = 0 + x2 + -1x2
192 + -26x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
192 + -26x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(32 + x) = 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 '(32 + x)' equal to zero and attempt to solve:

Simplifying
32 + x = 0

Solving
32 + x = 0

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

Add '-32' to each side of the equation.
32 + -32 + x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + x = 0 + -32
x = 0 + -32

Combine like terms: 0 + -32 = -32
x = -32

Simplifying
x = -32
Solution
x = {6, -32}