4x^2-500=100

Solution for 4x^2-500=100 equation:

Simplifying
4x2 + -500 = 100

Reorder the terms:
-500 + 4x2 = 100

Solving
-500 + 4x2 = 100

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 = 100 + 500

Combine like terms: -500 + 500 = 0
0 + 4x2 = 100 + 500
4x2 = 100 + 500

Combine like terms: 100 + 500 = 600
4x2 = 600

Divide each side by '4'.
x2 = 150

Simplifying
x2 = 150

Take the square root of each side:
x = {-12.247448714, 12.247448714}