2(x+1)2-1=71

Solution for 2(x+1)2-1=71 equation:

Simplifying
2(x + 1) * 2 + -1 = 71

Reorder the terms:
2(1 + x) * 2 + -1 = 71

Reorder the terms for easier multiplication:
2 * 2(1 + x) + -1 = 71

Multiply 2 * 2
4(1 + x) + -1 = 71
(1 * 4 + x * 4) + -1 = 71
(4 + 4x) + -1 = 71

Reorder the terms:
4 + -1 + 4x = 71

Combine like terms: 4 + -1 = 3
3 + 4x = 71

Solving
3 + 4x = 71

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 71 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 71 + -3
4x = 71 + -3

Combine like terms: 71 + -3 = 68
4x = 68

Divide each side by '4'.
x = 17

Simplifying
x = 17