(x+2)*(x+2)-(x*4)=40

Solution for (x+2)*(x+2)-(x*4)=40 equation:

Simplifying
(x + 2)(x + 2) + -1(x * 4) = 40

Reorder the terms:
(2 + x)(x + 2) + -1(x * 4) = 40

Reorder the terms:
(2 + x)(2 + x) + -1(x * 4) = 40

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) + -1(x * 4) = 40
((2 * 2 + x * 2) + x(2 + x)) + -1(x * 4) = 40
((4 + 2x) + x(2 + x)) + -1(x * 4) = 40
(4 + 2x + (2 * x + x * x)) + -1(x * 4) = 40
(4 + 2x + (2x + x2)) + -1(x * 4) = 40

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) + -1(x * 4) = 40

Reorder the terms for easier multiplication:
4 + 4x + x2 + -1(4x) = 40

Remove parenthesis around (4x)
4 + 4x + x2 + -1 * 4x = 40

Multiply -1 * 4
4 + 4x + x2 + -4x = 40

Reorder the terms:
4 + 4x + -4x + x2 = 40

Combine like terms: 4x + -4x = 0
4 + 0 + x2 = 40
4 + x2 = 40

Solving
4 + x2 = 40

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + x2 = 40 + -4

Combine like terms: 4 + -4 = 0
0 + x2 = 40 + -4
x2 = 40 + -4

Combine like terms: 40 + -4 = 36
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}