169=49x^2+x^2

Solution for 169=49x^2+x^2 equation:

Simplifying
169 = 49x2 + x2

Combine like terms: 49x2 + x2 = 50x2
169 = 50x2

Solving
169 = 50x2

Solving for variable 'x'.

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

Add '-50x2' to each side of the equation.
169 + -50x2 = 50x2 + -50x2

Combine like terms: 50x2 + -50x2 = 0
169 + -50x2 = 0

Add '-169' to each side of the equation.
169 + -169 + -50x2 = 0 + -169

Combine like terms: 169 + -169 = 0
0 + -50x2 = 0 + -169
-50x2 = 0 + -169

Combine like terms: 0 + -169 = -169
-50x2 = -169

Divide each side by '-50'.
x2 = 3.38

Simplifying
x2 = 3.38

Take the square root of each side:
x = {-1.838477631, 1.838477631}