1000=2x^2

Solution for 1000=2x^2 equation:

Simplifying
1000 = 2x2

Solving
1000 = 2x2

Solving for variable 'x'.

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

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

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

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}