x(5+xz^2)=6

Solution for x(5+xz^2)=6 equation:

Simplifying
x(5 + xz2) = 6
(5 * x + xz2 * x) = 6
(5x + x2z2) = 6

Solving
5x + x2z2 = 6

Solving for variable 'x'.

Reorder the terms:
-6 + 5x + x2z2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 5x + x2z2 = 0

Factor a trinomial.
(-6 + -1xz)(1 + -1xz) = 0

Subproblem 1
Set the factor '(-6 + -1xz)' equal to zero and attempt to solve:

Simplifying
-6 + -1xz = 0

Solving
-6 + -1xz = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1xz = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1xz = 0 + 6
-1xz = 0 + 6

Combine like terms: 0 + 6 = 6
-1xz = 6

Divide each side by '-1z'.
x = -6z-1

Simplifying
x = -6z-1
Subproblem 2
Set the factor '(1 + -1xz)' equal to zero and attempt to solve:

Simplifying
1 + -1xz = 0

Solving
1 + -1xz = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1xz = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1xz = 0 + -1
-1xz = 0 + -1

Combine like terms: 0 + -1 = -1
-1xz = -1

Divide each side by '-1z'.
x = z-1

Simplifying
x = z-1
Solution
x = {-6z-1, z-1}