100=x^2+x^2

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

Simplifying
100 = x2 + x2

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

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

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

Add '-100' to each side of the equation.
100 + -100 + -2x2 = 0 + -100

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

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

Divide each side by '-2'.
x2 = 50

Simplifying
x2 = 50

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