2x^2-1000=0

Solution for 2x^2-1000=0 equation:

Simplifying
2x2 + -1000 = 0

Reorder the terms:
-1000 + 2x2 = 0

Solving
-1000 + 2x2 = 0

Solving for variable 'x'.

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

Add '1000' to each side of the equation.
-1000 + 1000 + 2x2 = 0 + 1000

Combine like terms: -1000 + 1000 = 0
0 + 2x2 = 0 + 1000
2x2 = 0 + 1000

Combine like terms: 0 + 1000 = 1000
2x2 = 1000

Divide each side by '2'.
x2 = 500

Simplifying
x2 = 500

Take the square root of each side:
x = {-22.360679775, 22.360679775}