x(2)=(x+1)(x+1)

Solution for x(2)=(x+1)(x+1) equation:

Simplifying
x(2) = (x + 1)(x + 1)

Reorder the terms for easier multiplication:
2x = (x + 1)(x + 1)

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

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

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

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

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

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

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

Solving
0 = 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.
0 + -1x2 = 1 + x2 + -1x2
Remove the zero:
-1x2 = 1 + x2 + -1x2

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

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

Simplifying
x2 = -1

Reorder the terms:
1 + x2 = -1 + 1

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

The solution to this equation could not be determined.