4u^2-82=0

Solution for 4u^2-82=0 equation:

Simplifying
4u2 + -82 = 0

Reorder the terms:
-82 + 4u2 = 0

Solving
-82 + 4u2 = 0

Solving for variable 'u'.

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

Add '82' to each side of the equation.
-82 + 82 + 4u2 = 0 + 82

Combine like terms: -82 + 82 = 0
0 + 4u2 = 0 + 82
4u2 = 0 + 82

Combine like terms: 0 + 82 = 82
4u2 = 82

Divide each side by '4'.
u2 = 20.5

Simplifying
u2 = 20.5

Take the square root of each side:
u = {-4.527692569, 4.527692569}