169=a^2+36a^2

Solution for 169=a^2+36a^2 equation:

Simplifying
169 = a2 + 36a2

Combine like terms: a2 + 36a2 = 37a2
169 = 37a2

Solving
169 = 37a2

Solving for variable 'a'.

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

Add '-37a2' to each side of the equation.
169 + -37a2 = 37a2 + -37a2

Combine like terms: 37a2 + -37a2 = 0
169 + -37a2 = 0

Add '-169' to each side of the equation.
169 + -169 + -37a2 = 0 + -169

Combine like terms: 169 + -169 = 0
0 + -37a2 = 0 + -169
-37a2 = 0 + -169

Combine like terms: 0 + -169 = -169
-37a2 = -169

Divide each side by '-37'.
a2 = 4.567567568

Simplifying
a2 = 4.567567568

Take the square root of each side:
a = {-2.137186835, 2.137186835}