(x+3)2=75

Solution for (x+3)2=75 equation:

Simplifying
(x + 3) * 2 = 75

Reorder the terms:
(3 + x) * 2 = 75

Reorder the terms for easier multiplication:
2(3 + x) = 75
(3 * 2 + x * 2) = 75
(6 + 2x) = 75

Solving
6 + 2x = 75

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 + 2x = 75 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 75 + -6
2x = 75 + -6

Combine like terms: 75 + -6 = 69
2x = 69

Divide each side by '2'.
x = 34.5

Simplifying
x = 34.5