4x^2-289=

Solution for 4x^2-289= equation:

Simplifying
4x2 + -289 = 0

Reorder the terms:
-289 + 4x2 = 0

Solving
-289 + 4x2 = 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 + 4x2 = 0 + 289

Combine like terms: -289 + 289 = 0
0 + 4x2 = 0 + 289
4x2 = 0 + 289

Combine like terms: 0 + 289 = 289
4x2 = 289

Divide each side by '4'.
x2 = 72.25

Simplifying
x2 = 72.25

Take the square root of each side:
x = {-8.5, 8.5}