a^2+b^2+2a^2-4b^2=

Solution for a^2+b^2+2a^2-4b^2= equation:

Simplifying
a2 + b2 + 2a2 + -4b2 = 0

Reorder the terms:
a2 + 2a2 + b2 + -4b2 = 0

Combine like terms: a2 + 2a2 = 3a2
3a2 + b2 + -4b2 = 0

Combine like terms: b2 + -4b2 = -3b2
3a2 + -3b2 = 0

Solving
3a2 + -3b2 = 0

Solving for variable 'a'.

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

Add '3b2' to each side of the equation.
3a2 + -3b2 + 3b2 = 0 + 3b2

Combine like terms: -3b2 + 3b2 = 0
3a2 + 0 = 0 + 3b2
3a2 = 0 + 3b2
Remove the zero:
3a2 = 3b2

Divide each side by '3'.
a2 = b2

Simplifying
a2 = b2

Take the square root of each side:
a = {-1b, b}