(8r-s)(r^2+9rs-4s^2)=

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Solution for (8r-s)(r^2+9rs-4s^2)= equation:


Simplifying
(8r + -1s)(r2 + 9rs + -4s2) = 0

Reorder the terms:
(8r + -1s)(9rs + r2 + -4s2) = 0

Multiply (8r + -1s) * (9rs + r2 + -4s2)
(8r * (9rs + r2 + -4s2) + -1s * (9rs + r2 + -4s2)) = 0
((9rs * 8r + r2 * 8r + -4s2 * 8r) + -1s * (9rs + r2 + -4s2)) = 0

Reorder the terms:
((-32rs2 + 72r2s + 8r3) + -1s * (9rs + r2 + -4s2)) = 0
((-32rs2 + 72r2s + 8r3) + -1s * (9rs + r2 + -4s2)) = 0
(-32rs2 + 72r2s + 8r3 + (9rs * -1s + r2 * -1s + -4s2 * -1s)) = 0
(-32rs2 + 72r2s + 8r3 + (-9rs2 + -1r2s + 4s3)) = 0

Reorder the terms:
(-32rs2 + -9rs2 + 72r2s + -1r2s + 8r3 + 4s3) = 0

Combine like terms: -32rs2 + -9rs2 = -41rs2
(-41rs2 + 72r2s + -1r2s + 8r3 + 4s3) = 0

Combine like terms: 72r2s + -1r2s = 71r2s
(-41rs2 + 71r2s + 8r3 + 4s3) = 0

Solving
-41rs2 + 71r2s + 8r3 + 4s3 = 0

Solving for variable 'r'.

The solution to this equation could not be determined.

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