5x^2-1=3

Solution for 5x^2-1=3 equation:

Simplifying
5x2 + -1 = 3

Reorder the terms:
-1 + 5x2 = 3

Solving
-1 + 5x2 = 3

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 = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 5x2 = 3 + 1
5x2 = 3 + 1

Combine like terms: 3 + 1 = 4
5x2 = 4

Divide each side by '5'.
x2 = 0.8

Simplifying
x2 = 0.8

Take the square root of each side:
x = {-0.894427191, 0.894427191}