4x^2+6=54

Solution for 4x^2+6=54 equation:

Simplifying
4x2 + 6 = 54

Reorder the terms:
6 + 4x2 = 54

Solving
6 + 4x2 = 54

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 4x2 = 54 + -6

Combine like terms: 6 + -6 = 0
0 + 4x2 = 54 + -6
4x2 = 54 + -6

Combine like terms: 54 + -6 = 48
4x2 = 48

Divide each side by '4'.
x2 = 12

Simplifying
x2 = 12

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