(2b+3)2+2b=447

Solution for (2b+3)2+2b=447 equation:

Simplifying
(2b + 3) * 2 + 2b = 447

Reorder the terms:
(3 + 2b) * 2 + 2b = 447

Reorder the terms for easier multiplication:
2(3 + 2b) + 2b = 447
(3 * 2 + 2b * 2) + 2b = 447
(6 + 4b) + 2b = 447

Combine like terms: 4b + 2b = 6b
6 + 6b = 447

Solving
6 + 6b = 447

Solving for variable 'b'.

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

Add '-6' to each side of the equation.
6 + -6 + 6b = 447 + -6

Combine like terms: 6 + -6 = 0
0 + 6b = 447 + -6
6b = 447 + -6

Combine like terms: 447 + -6 = 441
6b = 441

Divide each side by '6'.
b = 73.5

Simplifying
b = 73.5