0.1x^2-1000=0

Solution for 0.1x^2-1000=0 equation:

Simplifying
0.1x2 + -1000 = 0

Reorder the terms:
-1000 + 0.1x2 = 0

Solving
-1000 + 0.1x2 = 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 + 0.1x2 = 0 + 1000

Combine like terms: -1000 + 1000 = 0
0 + 0.1x2 = 0 + 1000
0.1x2 = 0 + 1000

Combine like terms: 0 + 1000 = 1000
0.1x2 = 1000

Divide each side by '0.1'.
x2 = 10000

Simplifying
x2 = 10000

Take the square root of each side:
x = {-100, 100}