81a^2-100b^2=0

Solution for 81a^2-100b^2=0 equation:

Simplifying
81a2 + -100b2 = 0

Solving
81a2 + -100b2 = 0

Solving for variable 'a'.

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

Add '100b2' to each side of the equation.
81a2 + -100b2 + 100b2 = 0 + 100b2

Combine like terms: -100b2 + 100b2 = 0
81a2 + 0 = 0 + 100b2
81a2 = 0 + 100b2
Remove the zero:
81a2 = 100b2

Divide each side by '81'.
a2 = 1.234567901b2

Simplifying
a2 = 1.234567901b2

Take the square root of each side:
a = {-1.111111111b, 1.111111111b}