(6-x)(3z+1)=0

Solution for (6-x)(3z+1)=0 equation:

Simplifying
(6 + -1x)(3z + 1) = 0

Reorder the terms:
(6 + -1x)(1 + 3z) = 0

Multiply (6 + -1x) * (1 + 3z)
(6(1 + 3z) + -1x * (1 + 3z)) = 0
((1 * 6 + 3z * 6) + -1x * (1 + 3z)) = 0
((6 + 18z) + -1x * (1 + 3z)) = 0
(6 + 18z + (1 * -1x + 3z * -1x)) = 0
(6 + 18z + (-1x + -3xz)) = 0

Reorder the terms:
(6 + -1x + -3xz + 18z) = 0
(6 + -1x + -3xz + 18z) = 0

Solving
6 + -1x + -3xz + 18z = 0

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 + -1x + -3xz + -6 + 18z = 0 + -6

Reorder the terms:
6 + -6 + -1x + -3xz + 18z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x + -3xz + 18z = 0 + -6
-1x + -3xz + 18z = 0 + -6

Combine like terms: 0 + -6 = -6
-1x + -3xz + 18z = -6

Add '-18z' to each side of the equation.
-1x + -3xz + 18z + -18z = -6 + -18z

Combine like terms: 18z + -18z = 0
-1x + -3xz + 0 = -6 + -18z
-1x + -3xz = -6 + -18z

Reorder the terms:
6 + -1x + -3xz + 18z = -6 + -18z + 6 + 18z

Reorder the terms:
6 + -1x + -3xz + 18z = -6 + 6 + -18z + 18z

Combine like terms: -6 + 6 = 0
6 + -1x + -3xz + 18z = 0 + -18z + 18z
6 + -1x + -3xz + 18z = -18z + 18z

Combine like terms: -18z + 18z = 0
6 + -1x + -3xz + 18z = 0

The solution to this equation could not be determined.