4x^2-109=0

Solution for 4x^2-109=0 equation:

Simplifying
4x2 + -109 = 0

Reorder the terms:
-109 + 4x2 = 0

Solving
-109 + 4x2 = 0

Solving for variable 'x'.

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

Add '109' to each side of the equation.
-109 + 109 + 4x2 = 0 + 109

Combine like terms: -109 + 109 = 0
0 + 4x2 = 0 + 109
4x2 = 0 + 109

Combine like terms: 0 + 109 = 109
4x2 = 109

Divide each side by '4'.
x2 = 27.25

Simplifying
x2 = 27.25

Take the square root of each side:
x = {-5.220153254, 5.220153254}