x^2=100-2x^2

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

Simplifying
x2 = 100 + -2x2

Solving
x2 = 100 + -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.
x2 + 2x2 = 100 + -2x2 + 2x2

Combine like terms: x2 + 2x2 = 3x2
3x2 = 100 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
3x2 = 100 + 0
3x2 = 100

Divide each side by '3'.
x2 = 33.33333333

Simplifying
x2 = 33.33333333

Take the square root of each side:
x = {-5.773502692, 5.773502692}