x^2+x^2+100=2500

Solution for x^2+x^2+100=2500 equation:

Simplifying
x2 + x2 + 100 = 2500

Reorder the terms:
100 + x2 + x2 = 2500

Combine like terms: x2 + x2 = 2x2
100 + 2x2 = 2500

Solving
100 + 2x2 = 2500

Solving for variable 'x'.

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

Add '-100' to each side of the equation.
100 + -100 + 2x2 = 2500 + -100

Combine like terms: 100 + -100 = 0
0 + 2x2 = 2500 + -100
2x2 = 2500 + -100

Combine like terms: 2500 + -100 = 2400
2x2 = 2400

Divide each side by '2'.
x2 = 1200

Simplifying
x2 = 1200

Take the square root of each side:
x = {-34.641016151, 34.641016151}