3(x+4)2-72=0

Solution for 3(x+4)2-72=0 equation:

Simplifying
3(x + 4) * 2 + -72 = 0

Reorder the terms:
3(4 + x) * 2 + -72 = 0

Reorder the terms for easier multiplication:
3 * 2(4 + x) + -72 = 0

Multiply 3 * 2
6(4 + x) + -72 = 0
(4 * 6 + x * 6) + -72 = 0
(24 + 6x) + -72 = 0

Reorder the terms:
24 + -72 + 6x = 0

Combine like terms: 24 + -72 = -48
-48 + 6x = 0

Solving
-48 + 6x = 0

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 48 + 6x = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 6x = 0 + 48
6x = 0 + 48

Combine like terms: 0 + 48 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8