(2x+3)2=1

Solution for (2x+3)2=1 equation:

Simplifying
(2x + 3) * 2 = 1

Reorder the terms:
(3 + 2x) * 2 = 1

Reorder the terms for easier multiplication:
2(3 + 2x) = 1
(3 * 2 + 2x * 2) = 1
(6 + 4x) = 1

Solving
6 + 4x = 1

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 = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 1 + -6
4x = 1 + -6

Combine like terms: 1 + -6 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25