(10p+2q-3r)(10p+2q-3r)=0

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Solution for (10p+2q-3r)(10p+2q-3r)=0 equation: 


Simplifying
(10p + 2q + -3r)(10p + 2q + -3r) = 0

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

Reorder the terms:
((20pq + -30pr + 100p2) + 2q * (10p + 2q + -3r) + -3r * (10p + 2q + -3r)) = 0
((20pq + -30pr + 100p2) + 2q * (10p + 2q + -3r) + -3r * (10p + 2q + -3r)) = 0
(20pq + -30pr + 100p2 + (10p * 2q + 2q * 2q + -3r * 2q) + -3r * (10p + 2q + -3r)) = 0

Reorder the terms:
(20pq + -30pr + 100p2 + (20pq + -6qr + 4q2) + -3r * (10p + 2q + -3r)) = 0
(20pq + -30pr + 100p2 + (20pq + -6qr + 4q2) + -3r * (10p + 2q + -3r)) = 0
(20pq + -30pr + 100p2 + 20pq + -6qr + 4q2 + (10p * -3r + 2q * -3r + -3r * -3r)) = 0
(20pq + -30pr + 100p2 + 20pq + -6qr + 4q2 + (-30pr + -6qr + 9r2)) = 0

Reorder the terms:
(20pq + 20pq + -30pr + -30pr + 100p2 + -6qr + -6qr + 4q2 + 9r2) = 0

Combine like terms: 20pq + 20pq = 40pq
(40pq + -30pr + -30pr + 100p2 + -6qr + -6qr + 4q2 + 9r2) = 0

Combine like terms: -30pr + -30pr = -60pr
(40pq + -60pr + 100p2 + -6qr + -6qr + 4q2 + 9r2) = 0

Combine like terms: -6qr + -6qr = -12qr
(40pq + -60pr + 100p2 + -12qr + 4q2 + 9r2) = 0

Solving
40pq + -60pr + 100p2 + -12qr + 4q2 + 9r2 = 0

Solving for variable 'p'.

The solution to this equation could not be determined.

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