(x+1)2+(x+2)2=0

Solution for (x+1)2+(x+2)2=0 equation:

Simplifying
(x + 1) * 2 + (x + 2) * 2 = 0

Reorder the terms:
(1 + x) * 2 + (x + 2) * 2 = 0

Reorder the terms for easier multiplication:
2(1 + x) + (x + 2) * 2 = 0
(1 * 2 + x * 2) + (x + 2) * 2 = 0
(2 + 2x) + (x + 2) * 2 = 0

Reorder the terms:
2 + 2x + (2 + x) * 2 = 0

Reorder the terms for easier multiplication:
2 + 2x + 2(2 + x) = 0
2 + 2x + (2 * 2 + x * 2) = 0
2 + 2x + (4 + 2x) = 0

Reorder the terms:
2 + 4 + 2x + 2x = 0

Combine like terms: 2 + 4 = 6
6 + 2x + 2x = 0

Combine like terms: 2x + 2x = 4x
6 + 4x = 0

Solving
6 + 4x = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 4x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 0 + -6
4x = 0 + -6

Combine like terms: 0 + -6 = -6
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5