x^2-(x+2)(x+2)=60

Solution for x^2-(x+2)(x+2)=60 equation:

Simplifying
x2 + -1(x + 2)(x + 2) = 60

Reorder the terms:
x2 + -1(2 + x)(x + 2) = 60

Reorder the terms:
x2 + -1(2 + x)(2 + x) = 60

Multiply (2 + x) * (2 + x)
x2 + -1(2(2 + x) + x(2 + x)) = 60
x2 + -1((2 * 2 + x * 2) + x(2 + x)) = 60
x2 + -1((4 + 2x) + x(2 + x)) = 60
x2 + -1(4 + 2x + (2 * x + x * x)) = 60
x2 + -1(4 + 2x + (2x + x2)) = 60

Combine like terms: 2x + 2x = 4x
x2 + -1(4 + 4x + x2) = 60
x2 + (4 * -1 + 4x * -1 + x2 * -1) = 60
x2 + (-4 + -4x + -1x2) = 60

Reorder the terms:
-4 + -4x + x2 + -1x2 = 60

Combine like terms: x2 + -1x2 = 0
-4 + -4x + 0 = 60
-4 + -4x = 60

Solving
-4 + -4x = 60

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 + -4x = 60 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = 60 + 4
-4x = 60 + 4

Combine like terms: 60 + 4 = 64
-4x = 64

Divide each side by '-4'.
x = -16

Simplifying
x = -16