a^2+15=2a^2

Solution for a^2+15=2a^2 equation:

Simplifying
a2 + 15 = 2a2

Reorder the terms:
15 + a2 = 2a2

Solving
15 + a2 = 2a2

Solving for variable 'a'.

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

Add '-2a2' to each side of the equation.
15 + a2 + -2a2 = 2a2 + -2a2

Combine like terms: a2 + -2a2 = -1a2
15 + -1a2 = 2a2 + -2a2

Combine like terms: 2a2 + -2a2 = 0
15 + -1a2 = 0

Add '-15' to each side of the equation.
15 + -15 + -1a2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1a2 = 0 + -15
-1a2 = 0 + -15

Combine like terms: 0 + -15 = -15
-1a2 = -15

Divide each side by '-1'.
a2 = 15

Simplifying
a2 = 15

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