289=256x^2+81x^2

Solution for 289=256x^2+81x^2 equation:

Simplifying
289 = 256x2 + 81x2

Combine like terms: 256x2 + 81x2 = 337x2
289 = 337x2

Solving
289 = 337x2

Solving for variable 'x'.

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

Add '-337x2' to each side of the equation.
289 + -337x2 = 337x2 + -337x2

Combine like terms: 337x2 + -337x2 = 0
289 + -337x2 = 0

Add '-289' to each side of the equation.
289 + -289 + -337x2 = 0 + -289

Combine like terms: 289 + -289 = 0
0 + -337x2 = 0 + -289
-337x2 = 0 + -289

Combine like terms: 0 + -289 = -289
-337x2 = -289

Divide each side by '-337'.
x2 = 0.8575667656

Simplifying
x2 = 0.8575667656

Take the square root of each side:
x = {-0.926049008, 0.926049008}