(u^2-2)-32=0

Solution for (u^2-2)-32=0 equation:

Simplifying
(u2 + -2) + -32 = 0

Reorder the terms:
(-2 + u2) + -32 = 0

Remove parenthesis around (-2 + u2)
-2 + u2 + -32 = 0

Reorder the terms:
-2 + -32 + u2 = 0

Combine like terms: -2 + -32 = -34
-34 + u2 = 0

Solving
-34 + u2 = 0

Solving for variable 'u'.

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

Add '34' to each side of the equation.
-34 + 34 + u2 = 0 + 34

Combine like terms: -34 + 34 = 0
0 + u2 = 0 + 34
u2 = 0 + 34

Combine like terms: 0 + 34 = 34
u2 = 34

Simplifying
u2 = 34

Take the square root of each side:
u = {-5.830951895, 5.830951895}