5(2p+3q)+(3p-2q)(p+q)=

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Solution for 5(2p+3q)+(3p-2q)(p+q)= equation: 


Simplifying
5(2p + 3q) + (3p + -2q)(p + q) = 0
(2p * 5 + 3q * 5) + (3p + -2q)(p + q) = 0
(10p + 15q) + (3p + -2q)(p + q) = 0

Multiply (3p + -2q) * (p + q)
10p + 15q + (3p * (p + q) + -2q * (p + q)) = 0
10p + 15q + ((p * 3p + q * 3p) + -2q * (p + q)) = 0

Reorder the terms:
10p + 15q + ((3pq + 3p2) + -2q * (p + q)) = 0
10p + 15q + ((3pq + 3p2) + -2q * (p + q)) = 0
10p + 15q + (3pq + 3p2 + (p * -2q + q * -2q)) = 0
10p + 15q + (3pq + 3p2 + (-2pq + -2q2)) = 0

Reorder the terms:
10p + 15q + (3pq + -2pq + 3p2 + -2q2) = 0

Combine like terms: 3pq + -2pq = 1pq
10p + 15q + (1pq + 3p2 + -2q2) = 0

Reorder the terms:
10p + 1pq + 3p2 + 15q + -2q2 = 0

Solving
10p + 1pq + 3p2 + 15q + -2q2 = 0

Solving for variable 'p'.

The solution to this equation could not be determined.

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