4pq+p^2+q^2+2p(1-p-q)+2q(1-p-q)=0

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Solution for 4pq+p^2+q^2+2p(1-p-q)+2q(1-p-q)=0 equation: 


Simplifying
4pq + p2 + q2 + 2p(1 + -1p + -1q) + 2q(1 + -1p + -1q) = 0
4pq + p2 + q2 + (1 * 2p + -1p * 2p + -1q * 2p) + 2q(1 + -1p + -1q) = 0

Reorder the terms:
4pq + p2 + q2 + (2p + -2pq + -2p2) + 2q(1 + -1p + -1q) = 0
4pq + p2 + q2 + (2p + -2pq + -2p2) + 2q(1 + -1p + -1q) = 0
4pq + p2 + q2 + 2p + -2pq + -2p2 + (1 * 2q + -1p * 2q + -1q * 2q) = 0

Reorder the terms:
4pq + p2 + q2 + 2p + -2pq + -2p2 + (-2pq + 2q + -2q2) = 0
4pq + p2 + q2 + 2p + -2pq + -2p2 + (-2pq + 2q + -2q2) = 0

Reorder the terms:
2p + 4pq + -2pq + -2pq + p2 + -2p2 + 2q + q2 + -2q2 = 0

Combine like terms: 4pq + -2pq = 2pq
2p + 2pq + -2pq + p2 + -2p2 + 2q + q2 + -2q2 = 0

Combine like terms: 2pq + -2pq = 0
2p + 0 + p2 + -2p2 + 2q + q2 + -2q2 = 0
2p + p2 + -2p2 + 2q + q2 + -2q2 = 0

Combine like terms: p2 + -2p2 = -1p2
2p + -1p2 + 2q + q2 + -2q2 = 0

Combine like terms: q2 + -2q2 = -1q2
2p + -1p2 + 2q + -1q2 = 0

Solving
2p + -1p2 + 2q + -1q2 = 0

Solving for variable 'p'.

The solution to this equation could not be determined.

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