2a^2-65+a^2+15=180

Solution for 2a^2-65+a^2+15=180 equation:

Simplifying
2a2 + -65 + a2 + 15 = 180

Reorder the terms:
-65 + 15 + 2a2 + a2 = 180

Combine like terms: -65 + 15 = -50
-50 + 2a2 + a2 = 180

Combine like terms: 2a2 + a2 = 3a2
-50 + 3a2 = 180

Solving
-50 + 3a2 = 180

Solving for variable 'a'.

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

Add '50' to each side of the equation.
-50 + 50 + 3a2 = 180 + 50

Combine like terms: -50 + 50 = 0
0 + 3a2 = 180 + 50
3a2 = 180 + 50

Combine like terms: 180 + 50 = 230
3a2 = 230

Divide each side by '3'.
a2 = 76.66666667

Simplifying
a2 = 76.66666667

Take the square root of each side:
a = {-8.755950358, 8.755950358}