45a^2-80=0

Solution for 45a^2-80=0 equation:

Simplifying
45a2 + -80 = 0

Reorder the terms:
-80 + 45a2 = 0

Solving
-80 + 45a2 = 0

Solving for variable 'a'.

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

Add '80' to each side of the equation.
-80 + 80 + 45a2 = 0 + 80

Combine like terms: -80 + 80 = 0
0 + 45a2 = 0 + 80
45a2 = 0 + 80

Combine like terms: 0 + 80 = 80
45a2 = 80

Divide each side by '45'.
a2 = 1.777777778

Simplifying
a2 = 1.777777778

Take the square root of each side:
a = {-1.333333333, 1.333333333}