289a^2-256=0

Solution for 289a^2-256=0 equation:

Simplifying
289a2 + -256 = 0

Reorder the terms:
-256 + 289a2 = 0

Solving
-256 + 289a2 = 0

Solving for variable 'a'.

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

Add '256' to each side of the equation.
-256 + 256 + 289a2 = 0 + 256

Combine like terms: -256 + 256 = 0
0 + 289a2 = 0 + 256
289a2 = 0 + 256

Combine like terms: 0 + 256 = 256
289a2 = 256

Divide each side by '289'.
a2 = 0.8858131488

Simplifying
a2 = 0.8858131488

Take the square root of each side:
a = {-0.941176471, 0.941176471}