24=3x^2-6

Solution for 24=3x^2-6 equation:

Simplifying
24 = 3x2 + -6

Reorder the terms:
24 = -6 + 3x2

Solving
24 = -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.
24 + -3x2 = -6 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
24 + -3x2 = -6 + 0
24 + -3x2 = -6

Add '-24' to each side of the equation.
24 + -24 + -3x2 = -6 + -24

Combine like terms: 24 + -24 = 0
0 + -3x2 = -6 + -24
-3x2 = -6 + -24

Combine like terms: -6 + -24 = -30
-3x2 = -30

Divide each side by '-3'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}