51=3x^2-3

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

Simplifying
51 = 3x2 + -3

Reorder the terms:
51 = -3 + 3x2

Solving
51 = -3 + 3x2

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: -3 + -51 = -54
-3x2 = -54

Divide each side by '-3'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}