3(u^2-16)+5=32

Solution for 3(u^2-16)+5=32 equation:

Simplifying
3(u2 + -16) + 5 = 32

Reorder the terms:
3(-16 + u2) + 5 = 32
(-16 * 3 + u2 * 3) + 5 = 32
(-48 + 3u2) + 5 = 32

Reorder the terms:
-48 + 5 + 3u2 = 32

Combine like terms: -48 + 5 = -43
-43 + 3u2 = 32

Solving
-43 + 3u2 = 32

Solving for variable 'u'.

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

Add '43' to each side of the equation.
-43 + 43 + 3u2 = 32 + 43

Combine like terms: -43 + 43 = 0
0 + 3u2 = 32 + 43
3u2 = 32 + 43

Combine like terms: 32 + 43 = 75
3u2 = 75

Divide each side by '3'.
u2 = 25

Simplifying
u2 = 25

Take the square root of each side:
u = {-5, 5}