3z(6-2z+x^2)=0

Solution for 3z(6-2z+x^2)=0 equation:

Simplifying
3z(6 + -2z + x2) = 0

Reorder the terms:
3z(6 + x2 + -2z) = 0
(6 * 3z + x2 * 3z + -2z * 3z) = 0

Reorder the terms:
(3x2z + 18z + -6z2) = 0
(3x2z + 18z + -6z2) = 0

Solving
3x2z + 18z + -6z2 = 0

Solving for variable 'x'.

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

Add '-18z' to each side of the equation.
3x2z + 18z + -18z + -6z2 = 0 + -18z

Combine like terms: 18z + -18z = 0
3x2z + 0 + -6z2 = 0 + -18z
3x2z + -6z2 = 0 + -18z
Remove the zero:
3x2z + -6z2 = -18z

Add '6z2' to each side of the equation.
3x2z + -6z2 + 6z2 = -18z + 6z2

Combine like terms: -6z2 + 6z2 = 0
3x2z + 0 = -18z + 6z2
3x2z = -18z + 6z2

Divide each side by '3z'.
x2 = -6 + 2z

Simplifying
x2 = -6 + 2z

Reorder the terms:
6 + x2 + -2z = -6 + 2z + 6 + -2z

Reorder the terms:
6 + x2 + -2z = -6 + 6 + 2z + -2z

Combine like terms: -6 + 6 = 0
6 + x2 + -2z = 0 + 2z + -2z
6 + x2 + -2z = 2z + -2z

Combine like terms: 2z + -2z = 0
6 + x2 + -2z = 0

The solution to this equation could not be determined.