19=3x^2-6

Solution for 19=3x^2-6 equation:

Simplifying
19 = 3x2 + -6

Reorder the terms:
19 = -6 + 3x2

Solving
19 = -6 + 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.
19 + -3x2 = -6 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
19 + -3x2 = -6 + 0
19 + -3x2 = -6

Add '-19' to each side of the equation.
19 + -19 + -3x2 = -6 + -19

Combine like terms: 19 + -19 = 0
0 + -3x2 = -6 + -19
-3x2 = -6 + -19

Combine like terms: -6 + -19 = -25
-3x2 = -25

Divide each side by '-3'.
x2 = 8.333333333

Simplifying
x2 = 8.333333333

Take the square root of each side:
x = {-2.886751346, 2.886751346}