(x+5)(x+5)=4

Solution for (x+5)(x+5)=4 equation:

Simplifying
(x + 5)(x + 5) = 4

Reorder the terms:
(5 + x)(x + 5) = 4

Reorder the terms:
(5 + x)(5 + x) = 4

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = 4
((5 * 5 + x * 5) + x(5 + x)) = 4
((25 + 5x) + x(5 + x)) = 4
(25 + 5x + (5 * x + x * x)) = 4
(25 + 5x + (5x + x2)) = 4

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = 4

Solving
25 + 10x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
25 + -4 + 10x + x2 = 4 + -4

Combine like terms: 25 + -4 = 21
21 + 10x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
21 + 10x + x2 = 0

Factor a trinomial.
(7 + x)(3 + x) = 0

Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-7, -3}