500=10x^2

Solution for 500=10x^2 equation:

Simplifying
500 = 10x2

Solving
500 = 10x2

Solving for variable 'x'.

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

Add '-10x2' to each side of the equation.
500 + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
500 + -10x2 = 0

Add '-500' to each side of the equation.
500 + -500 + -10x2 = 0 + -500

Combine like terms: 500 + -500 = 0
0 + -10x2 = 0 + -500
-10x2 = 0 + -500

Combine like terms: 0 + -500 = -500
-10x2 = -500

Divide each side by '-10'.
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}