3x^2-2=78

Solution for 3x^2-2=78 equation:

Simplifying
3x2 + -2 = 78

Reorder the terms:
-2 + 3x2 = 78

Solving
-2 + 3x2 = 78

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 3x2 = 78 + 2

Combine like terms: -2 + 2 = 0
0 + 3x2 = 78 + 2
3x2 = 78 + 2

Combine like terms: 78 + 2 = 80
3x2 = 80

Divide each side by '3'.
x2 = 26.66666667

Simplifying
x2 = 26.66666667

Take the square root of each side:
x = {-5.163977795, 5.163977795}