a^2b^2-400=0

Solution for a^2b^2-400=0 equation:

Simplifying
a2b2 + -400 = 0

Reorder the terms:
-400 + a2b2 = 0

Solving
-400 + a2b2 = 0

Solving for variable 'a'.

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

Add '400' to each side of the equation.
-400 + 400 + a2b2 = 0 + 400

Combine like terms: -400 + 400 = 0
0 + a2b2 = 0 + 400
a2b2 = 0 + 400

Combine like terms: 0 + 400 = 400
a2b2 = 400

Divide each side by 'b2'.
a2 = 400b-2

Simplifying
a2 = 400b-2

Take the square root of each side:
a = {-20b-1, 20b-1}