x^2+x^2+49=x^2+64

Solution for x^2+x^2+49=x^2+64 equation:

Simplifying
x2 + x2 + 49 = x2 + 64

Reorder the terms:
49 + x2 + x2 = x2 + 64

Combine like terms: x2 + x2 = 2x2
49 + 2x2 = x2 + 64

Reorder the terms:
49 + 2x2 = 64 + x2

Solving
49 + 2x2 = 64 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
49 + 2x2 + -1x2 = 64 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
49 + 1x2 = 64 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
49 + 1x2 = 64 + 0
49 + 1x2 = 64

Add '-49' to each side of the equation.
49 + -49 + 1x2 = 64 + -49

Combine like terms: 49 + -49 = 0
0 + 1x2 = 64 + -49
1x2 = 64 + -49

Combine like terms: 64 + -49 = 15
1x2 = 15

Divide each side by '1'.
x2 = 15

Simplifying
x2 = 15

Take the square root of each side:
x = {-3.872983346, 3.872983346}