(5r-6s+s^2)(13r+3s-5s^2)=

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Solution for (5r-6s+s^2)(13r+3s-5s^2)= equation: 


Simplifying
(5r + -6s + s2)(13r + 3s + -5s2) = 0

Multiply (5r + -6s + s2) * (13r + 3s + -5s2)
(5r * (13r + 3s + -5s2) + -6s * (13r + 3s + -5s2) + s2(13r + 3s + -5s2)) = 0
((13r * 5r + 3s * 5r + -5s2 * 5r) + -6s * (13r + 3s + -5s2) + s2(13r + 3s + -5s2)) = 0

Reorder the terms:
((15rs + -25rs2 + 65r2) + -6s * (13r + 3s + -5s2) + s2(13r + 3s + -5s2)) = 0
((15rs + -25rs2 + 65r2) + -6s * (13r + 3s + -5s2) + s2(13r + 3s + -5s2)) = 0
(15rs + -25rs2 + 65r2 + (13r * -6s + 3s * -6s + -5s2 * -6s) + s2(13r + 3s + -5s2)) = 0
(15rs + -25rs2 + 65r2 + (-78rs + -18s2 + 30s3) + s2(13r + 3s + -5s2)) = 0
(15rs + -25rs2 + 65r2 + -78rs + -18s2 + 30s3 + (13r * s2 + 3s * s2 + -5s2 * s2)) = 0
(15rs + -25rs2 + 65r2 + -78rs + -18s2 + 30s3 + (13rs2 + 3s3 + -5s4)) = 0

Reorder the terms:
(15rs + -78rs + -25rs2 + 13rs2 + 65r2 + -18s2 + 30s3 + 3s3 + -5s4) = 0

Combine like terms: 15rs + -78rs = -63rs
(-63rs + -25rs2 + 13rs2 + 65r2 + -18s2 + 30s3 + 3s3 + -5s4) = 0

Combine like terms: -25rs2 + 13rs2 = -12rs2
(-63rs + -12rs2 + 65r2 + -18s2 + 30s3 + 3s3 + -5s4) = 0

Combine like terms: 30s3 + 3s3 = 33s3
(-63rs + -12rs2 + 65r2 + -18s2 + 33s3 + -5s4) = 0

Solving
-63rs + -12rs2 + 65r2 + -18s2 + 33s3 + -5s4 = 0

Solving for variable 'r'.

The solution to this equation could not be determined.

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