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

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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}

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