5u^2-500=0

Solution for 5u^2-500=0 equation:

Simplifying
5u2 + -500 = 0

Reorder the terms:
-500 + 5u2 = 0

Solving
-500 + 5u2 = 0

Solving for variable 'u'.

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

Add '500' to each side of the equation.
-500 + 500 + 5u2 = 0 + 500

Combine like terms: -500 + 500 = 0
0 + 5u2 = 0 + 500
5u2 = 0 + 500

Combine like terms: 0 + 500 = 500
5u2 = 500

Divide each side by '5'.
u2 = 100

Simplifying
u2 = 100

Take the square root of each side:
u = {-10, 10}