16x^2-289=0

Solution for 16x^2-289=0 equation:

Simplifying
16x2 + -289 = 0

Reorder the terms:
-289 + 16x2 = 0

Solving
-289 + 16x2 = 0

Solving for variable 'x'.

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

Add '289' to each side of the equation.
-289 + 289 + 16x2 = 0 + 289

Combine like terms: -289 + 289 = 0
0 + 16x2 = 0 + 289
16x2 = 0 + 289

Combine like terms: 0 + 289 = 289
16x2 = 289

Divide each side by '16'.
x2 = 18.0625

Simplifying
x2 = 18.0625

Take the square root of each side:
x = {-4.25, 4.25}