6x^2+42=114

Solution for 6x^2+42=114 equation:

Simplifying
6x2 + 42 = 114

Reorder the terms:
42 + 6x2 = 114

Solving
42 + 6x2 = 114

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 6x2 = 114 + -42

Combine like terms: 42 + -42 = 0
0 + 6x2 = 114 + -42
6x2 = 114 + -42

Combine like terms: 114 + -42 = 72
6x2 = 72

Divide each side by '6'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}