(2x+1)2+(x+1)2=34

Solution for (2x+1)2+(x+1)2=34 equation:

Simplifying
(2x + 1) * 2 + (x + 1) * 2 = 34

Reorder the terms:
(1 + 2x) * 2 + (x + 1) * 2 = 34

Reorder the terms for easier multiplication:
2(1 + 2x) + (x + 1) * 2 = 34
(1 * 2 + 2x * 2) + (x + 1) * 2 = 34
(2 + 4x) + (x + 1) * 2 = 34

Reorder the terms:
2 + 4x + (1 + x) * 2 = 34

Reorder the terms for easier multiplication:
2 + 4x + 2(1 + x) = 34
2 + 4x + (1 * 2 + x * 2) = 34
2 + 4x + (2 + 2x) = 34

Reorder the terms:
2 + 2 + 4x + 2x = 34

Combine like terms: 2 + 2 = 4
4 + 4x + 2x = 34

Combine like terms: 4x + 2x = 6x
4 + 6x = 34

Solving
4 + 6x = 34

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 + 6x = 34 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = 34 + -4
6x = 34 + -4

Combine like terms: 34 + -4 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5