15p-p(q+3q)-5p+10=

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Solution for 15p-p(q+3q)-5p+10= equation: 


Simplifying
15p + -1p(q + 3q) + -5p + 10 = 0

Combine like terms: q + 3q = 4q
15p + -1p(4q) + -5p + 10 = 0

Remove parenthesis around (4q)
15p + -1p * 4q + -5p + 10 = 0

Reorder the terms for easier multiplication:
15p + -1 * 4p * q + -5p + 10 = 0

Multiply -1 * 4
15p + -4p * q + -5p + 10 = 0

Multiply p * q
15p + -4pq + -5p + 10 = 0

Reorder the terms:
10 + 15p + -5p + -4pq = 0

Combine like terms: 15p + -5p = 10p
10 + 10p + -4pq = 0

Solving
10 + 10p + -4pq = 0

Solving for variable 'p'.

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

Add '-10' to each side of the equation.
10 + 10p + -10 + -4pq = 0 + -10

Reorder the terms:
10 + -10 + 10p + -4pq = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 10p + -4pq = 0 + -10
10p + -4pq = 0 + -10

Combine like terms: 0 + -10 = -10
10p + -4pq = -10

Reorder the terms:
10 + 10p + -4pq = -10 + 10

Combine like terms: -10 + 10 = 0
10 + 10p + -4pq = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 5p + -2pq) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + 5p + -2pq)' equal to zero and attempt to solve:

Simplifying
5 + 5p + -2pq = 0

Solving
5 + 5p + -2pq = 0

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

Add '-5' to each side of the equation.
5 + 5p + -5 + -2pq = 0 + -5

Reorder the terms:
5 + -5 + 5p + -2pq = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 5p + -2pq = 0 + -5
5p + -2pq = 0 + -5

Combine like terms: 0 + -5 = -5
5p + -2pq = -5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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