114x^2-361=0

Solution for 114x^2-361=0 equation:

Simplifying
114x2 + -361 = 0

Reorder the terms:
-361 + 114x2 = 0

Solving
-361 + 114x2 = 0

Solving for variable 'x'.

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

Add '361' to each side of the equation.
-361 + 361 + 114x2 = 0 + 361

Combine like terms: -361 + 361 = 0
0 + 114x2 = 0 + 361
114x2 = 0 + 361

Combine like terms: 0 + 361 = 361
114x2 = 361

Divide each side by '114'.
x2 = 3.166666667

Simplifying
x2 = 3.166666667

Take the square root of each side:
x = {-1.779513042, 1.779513042}