3x^2-42+120=0

Solution for 3x^2-42+120=0 equation:

Simplifying
3x2 + -42 + 120 = 0

Reorder the terms:
-42 + 120 + 3x2 = 0

Combine like terms: -42 + 120 = 78
78 + 3x2 = 0

Solving
78 + 3x2 = 0

Solving for variable 'x'.

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

Add '-78' to each side of the equation.
78 + -78 + 3x2 = 0 + -78

Combine like terms: 78 + -78 = 0
0 + 3x2 = 0 + -78
3x2 = 0 + -78

Combine like terms: 0 + -78 = -78
3x2 = -78

Divide each side by '3'.
x2 = -26

Simplifying
x2 = -26

Reorder the terms:
26 + x2 = -26 + 26

Combine like terms: -26 + 26 = 0
26 + x2 = 0

The solution to this equation could not be determined.