4x(z+6)+(z+6)=

Solution for 4x(z+6)+(z+6)= equation:

Simplifying
4x(z + 6) + (z + 6) = 0

Reorder the terms:
4x(6 + z) + (z + 6) = 0
(6 * 4x + z * 4x) + (z + 6) = 0
(24x + 4xz) + (z + 6) = 0

Reorder the terms:
24x + 4xz + (6 + z) = 0

Remove parenthesis around (6 + z)
24x + 4xz + 6 + z = 0

Reorder the terms:
6 + 24x + 4xz + z = 0

Solving
6 + 24x + 4xz + z = 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 + 24x + 4xz + -6 + z = 0 + -6

Reorder the terms:
6 + -6 + 24x + 4xz + z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 24x + 4xz + z = 0 + -6
24x + 4xz + z = 0 + -6

Combine like terms: 0 + -6 = -6
24x + 4xz + z = -6

Add '-1z' to each side of the equation.
24x + 4xz + z + -1z = -6 + -1z

Combine like terms: z + -1z = 0
24x + 4xz + 0 = -6 + -1z
24x + 4xz = -6 + -1z

Reorder the terms:
6 + 24x + 4xz + z = -6 + -1z + 6 + z

Reorder the terms:
6 + 24x + 4xz + z = -6 + 6 + -1z + z

Combine like terms: -6 + 6 = 0
6 + 24x + 4xz + z = 0 + -1z + z
6 + 24x + 4xz + z = -1z + z

Combine like terms: -1z + z = 0
6 + 24x + 4xz + z = 0

The solution to this equation could not be determined.