6x^2-42+24=0

Solution for 6x^2-42+24=0 equation:

Simplifying
6x2 + -42 + 24 = 0

Reorder the terms:
-42 + 24 + 6x2 = 0

Combine like terms: -42 + 24 = -18
-18 + 6x2 = 0

Solving
-18 + 6x2 = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 6x2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 6x2 = 0 + 18
6x2 = 0 + 18

Combine like terms: 0 + 18 = 18
6x2 = 18

Divide each side by '6'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}