6z^2-9=46

Solution for 6z^2-9=46 equation:

Simplifying
6z2 + -9 = 46

Reorder the terms:
-9 + 6z2 = 46

Solving
-9 + 6z2 = 46

Solving for variable 'z'.

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

Add '9' to each side of the equation.
-9 + 9 + 6z2 = 46 + 9

Combine like terms: -9 + 9 = 0
0 + 6z2 = 46 + 9
6z2 = 46 + 9

Combine like terms: 46 + 9 = 55
6z2 = 55

Divide each side by '6'.
z2 = 9.166666667

Simplifying
z2 = 9.166666667

Take the square root of each side:
z = {-3.027650354, 3.027650354}