225=(x+9)(x+9)

Solution for 225=(x+9)(x+9) equation:

Simplifying
225 = (x + 9)(x + 9)

Reorder the terms:
225 = (9 + x)(x + 9)

Reorder the terms:
225 = (9 + x)(9 + x)

Multiply (9 + x) * (9 + x)
225 = (9(9 + x) + x(9 + x))
225 = ((9 * 9 + x * 9) + x(9 + x))
225 = ((81 + 9x) + x(9 + x))
225 = (81 + 9x + (9 * x + x * x))
225 = (81 + 9x + (9x + x2))

Combine like terms: 9x + 9x = 18x
225 = (81 + 18x + x2)

Solving
225 = 81 + 18x + x2

Solving for variable 'x'.

Combine like terms: 225 + -81 = 144
144 + -18x + -1x2 = 81 + 18x + x2 + -81 + -18x + -1x2

Reorder the terms:
144 + -18x + -1x2 = 81 + -81 + 18x + -18x + x2 + -1x2

Combine like terms: 81 + -81 = 0
144 + -18x + -1x2 = 0 + 18x + -18x + x2 + -1x2
144 + -18x + -1x2 = 18x + -18x + x2 + -1x2

Combine like terms: 18x + -18x = 0
144 + -18x + -1x2 = 0 + x2 + -1x2
144 + -18x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
144 + -18x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(24 + 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 '(24 + x)' equal to zero and attempt to solve:

Simplifying
24 + x = 0

Solving
24 + x = 0

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

Add '-24' to each side of the equation.
24 + -24 + x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + x = 0 + -24
x = 0 + -24

Combine like terms: 0 + -24 = -24
x = -24

Simplifying
x = -24
Solution
x = {6, -24}