3x^2-6=51

Solution for 3x^2-6=51 equation:

Simplifying
3x2 + -6 = 51

Reorder the terms:
-6 + 3x2 = 51

Solving
-6 + 3x2 = 51

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 3x2 = 51 + 6

Combine like terms: -6 + 6 = 0
0 + 3x2 = 51 + 6
3x2 = 51 + 6

Combine like terms: 51 + 6 = 57
3x2 = 57

Divide each side by '3'.
x2 = 19

Simplifying
x2 = 19

Take the square root of each side:
x = {-4.358898944, 4.358898944}