(9p-6p)+180pq=(9p+6p)

Solution for (9p-6p)+180pq=(9p+6p) equation:

Simplifying
(9p + -6p) + 180pq = (9p + 6p)

Combine like terms: 9p + -6p = 3p
(3p) + 180pq = (9p + 6p)
(3p) + 180pq = (9p + 6p)

Combine like terms: 9p + 6p = 15p
(3p) + 180pq = (15p)
(3p) + 180pq = (15p)

Solving
(3p) + 180pq = (15p)

Solving for variable 'p'.

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

Add '(-15p)' to each side of the equation.
(3p) + (-15p) + 180pq = (15p) + (-15p)

Combine like terms: (3p) + (-15p) = -12p
-12p + 180pq = (15p) + (-15p)

Combine like terms: (15p) + (-15p) = 0
-12p + 180pq = 0

Factor out the Greatest Common Factor (GCF), '12p'.
12p(-1 + 15q) = 0

Ignore the factor 12.
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 '(-1 + 15q)' equal to zero and attempt to solve:

Simplifying
-1 + 15q = 0

Solving
-1 + 15q = 0

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

Add '1' to each side of the equation.
-1 + 1 + 15q = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 15q = 0 + 1
15q = 0 + 1

Combine like terms: 0 + 1 = 1
15q = 1

Add '-15q' to each side of the equation.
15q + -15q = 1 + -15q

Combine like terms: 15q + -15q = 0
0 = 1 + -15q

Simplifying
0 = 1 + -15q

The solution to this equation could not be determined.

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