4z^2+6=18

Solution for 4z^2+6=18 equation:

Simplifying
4z2 + 6 = 18

Reorder the terms:
6 + 4z2 = 18

Solving
6 + 4z2 = 18

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 4z2 = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 4z2 = 18 + -6
4z2 = 18 + -6

Combine like terms: 18 + -6 = 12
4z2 = 12

Divide each side by '4'.
z2 = 3

Simplifying
z2 = 3

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