3x^2-1=4

Solution for 3x^2-1=4 equation:

Simplifying
3x2 + -1 = 4

Reorder the terms:
-1 + 3x2 = 4

Solving
-1 + 3x2 = 4

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 + 3x2 = 4 + 1

Combine like terms: -1 + 1 = 0
0 + 3x2 = 4 + 1
3x2 = 4 + 1

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

Divide each side by '3'.
x2 = 1.666666667

Simplifying
x2 = 1.666666667

Take the square root of each side:
x = {-1.290994449, 1.290994449}