(4+x)(4+x)=36

Solution for (4+x)(4+x)=36 equation:

Simplifying
(4 + x)(4 + x) = 36

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) = 36
((4 * 4 + x * 4) + x(4 + x)) = 36
((16 + 4x) + x(4 + x)) = 36
(16 + 4x + (4 * x + x * x)) = 36
(16 + 4x + (4x + x2)) = 36

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) = 36

Solving
16 + 8x + x2 = 36

Solving for variable 'x'.

Reorder the terms:
16 + -36 + 8x + x2 = 36 + -36

Combine like terms: 16 + -36 = -20
-20 + 8x + x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-20 + 8x + x2 = 0

Factor a trinomial.
(-10 + -1x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-10, 2}