72+x+x=(x+1)(x+1)

Solution for 72+x+x=(x+1)(x+1) equation:

Simplifying
72 + x + x = (x + 1)(x + 1)

Combine like terms: x + x = 2x
72 + 2x = (x + 1)(x + 1)

Reorder the terms:
72 + 2x = (1 + x)(x + 1)

Reorder the terms:
72 + 2x = (1 + x)(1 + x)

Multiply (1 + x) * (1 + x)
72 + 2x = (1(1 + x) + x(1 + x))
72 + 2x = ((1 * 1 + x * 1) + x(1 + x))
72 + 2x = ((1 + 1x) + x(1 + x))
72 + 2x = (1 + 1x + (1 * x + x * x))
72 + 2x = (1 + 1x + (1x + x2))

Combine like terms: 1x + 1x = 2x
72 + 2x = (1 + 2x + x2)

Add '-2x' to each side of the equation.
72 + 2x + -2x = 1 + 2x + -2x + x2

Combine like terms: 2x + -2x = 0
72 + 0 = 1 + 2x + -2x + x2
72 = 1 + 2x + -2x + x2

Combine like terms: 2x + -2x = 0
72 = 1 + 0 + x2
72 = 1 + x2

Solving
72 = 1 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
72 + -1x2 = 1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
72 + -1x2 = 1 + 0
72 + -1x2 = 1

Add '-72' to each side of the equation.
72 + -72 + -1x2 = 1 + -72

Combine like terms: 72 + -72 = 0
0 + -1x2 = 1 + -72
-1x2 = 1 + -72

Combine like terms: 1 + -72 = -71
-1x2 = -71

Divide each side by '-1'.
x2 = 71

Simplifying
x2 = 71

Take the square root of each side:
x = {-8.426149773, 8.426149773}