(x+2)(x+2)=9

Solution for (x+2)(x+2)=9 equation:

Simplifying
(x + 2)(x + 2) = 9

Reorder the terms:
(2 + x)(x + 2) = 9

Reorder the terms:
(2 + x)(2 + x) = 9

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) = 9
((2 * 2 + x * 2) + x(2 + x)) = 9
((4 + 2x) + x(2 + x)) = 9
(4 + 2x + (2 * x + x * x)) = 9
(4 + 2x + (2x + x2)) = 9

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) = 9

Solving
4 + 4x + x2 = 9

Solving for variable 'x'.

Reorder the terms:
4 + -9 + 4x + x2 = 9 + -9

Combine like terms: 4 + -9 = -5
-5 + 4x + x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-5 + 4x + x2 = 0

Factor a trinomial.
(-5 + -1x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-5, 1}