3xp+6=p+5p+6

Solution for 3xp+6=p+5p+6 equation:

Simplifying
3xp + 6 = p + 5p + 6

Reorder the terms:
6 + 3px = p + 5p + 6

Reorder the terms:
6 + 3px = 6 + p + 5p

Combine like terms: p + 5p = 6p
6 + 3px = 6 + 6p

Add '-6' to each side of the equation.
6 + -6 + 3px = 6 + -6 + 6p

Combine like terms: 6 + -6 = 0
0 + 3px = 6 + -6 + 6p
3px = 6 + -6 + 6p

Combine like terms: 6 + -6 = 0
3px = 0 + 6p
3px = 6p

Solving
3px = 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-6p + 3px = 6p + -6p

Combine like terms: 6p + -6p = 0
-6p + 3px = 0

Factor out the Greatest Common Factor (GCF), '3p'.
3p(-2 + x) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Add '-1x' to each side of the equation.
x + -1x = 2 + -1x

Combine like terms: x + -1x = 0
0 = 2 + -1x

Simplifying
0 = 2 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}