3(u-4)2+5=32

Solution for 3(u-4)2+5=32 equation:

Simplifying
3(u + -4) * 2 + 5 = 32

Reorder the terms:
3(-4 + u) * 2 + 5 = 32

Reorder the terms for easier multiplication:
3 * 2(-4 + u) + 5 = 32

Multiply 3 * 2
6(-4 + u) + 5 = 32
(-4 * 6 + u * 6) + 5 = 32
(-24 + 6u) + 5 = 32

Reorder the terms:
-24 + 5 + 6u = 32

Combine like terms: -24 + 5 = -19
-19 + 6u = 32

Solving
-19 + 6u = 32

Solving for variable 'u'.

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

Add '19' to each side of the equation.
-19 + 19 + 6u = 32 + 19

Combine like terms: -19 + 19 = 0
0 + 6u = 32 + 19
6u = 32 + 19

Combine like terms: 32 + 19 = 51
6u = 51

Divide each side by '6'.
u = 8.5

Simplifying
u = 8.5