5x^2-1=234

Solution for 5x^2-1=234 equation:

Simplifying
5x2 + -1 = 234

Reorder the terms:
-1 + 5x2 = 234

Solving
-1 + 5x2 = 234

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 5x2 = 234 + 1

Combine like terms: -1 + 1 = 0
0 + 5x2 = 234 + 1
5x2 = 234 + 1

Combine like terms: 234 + 1 = 235
5x2 = 235

Divide each side by '5'.
x2 = 47

Simplifying
x2 = 47

Take the square root of each side:
x = {-6.8556546, 6.8556546}