4x^2-500=0

Solution for 4x^2-500=0 equation:

Simplifying
4x2 + -500 = 0

Reorder the terms:
-500 + 4x2 = 0

Solving
-500 + 4x2 = 0

Solving for variable 'x'.

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

Add '500' to each side of the equation.
-500 + 500 + 4x2 = 0 + 500

Combine like terms: -500 + 500 = 0
0 + 4x2 = 0 + 500
4x2 = 0 + 500

Combine like terms: 0 + 500 = 500
4x2 = 500

Divide each side by '4'.
x2 = 125

Simplifying
x2 = 125

Take the square root of each side:
x = {-11.180339887, 11.180339887}