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Simplifying (Q + -8r)(q + 4s) = 0 Multiply (Q + -8r) * (q + 4s) (Q(q + 4s) + -8r * (q + 4s)) = 0 ((q * Q + 4s * Q) + -8r * (q + 4s)) = 0 ((qQ + 4sQ) + -8r * (q + 4s)) = 0 (qQ + 4sQ + (q * -8r + 4s * -8r)) = 0 (qQ + 4sQ + (-8qr + -32rs)) = 0 Reorder the terms: (qQ + -8qr + -32rs + 4sQ) = 0 (qQ + -8qr + -32rs + 4sQ) = 0 Solving qQ + -8qr + -32rs + 4sQ = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '32rs' to each side of the equation. qQ + -8qr + -32rs + 32rs + 4sQ = 0 + 32rs Combine like terms: -32rs + 32rs = 0 qQ + -8qr + 0 + 4sQ = 0 + 32rs qQ + -8qr + 4sQ = 0 + 32rs Remove the zero: qQ + -8qr + 4sQ = 32rs Add '-4sQ' to each side of the equation. qQ + -8qr + 4sQ + -4sQ = 32rs + -4sQ Combine like terms: 4sQ + -4sQ = 0 qQ + -8qr + 0 = 32rs + -4sQ qQ + -8qr = 32rs + -4sQ Reorder the terms: qQ + -8qr + -32rs + 4sQ = 32rs + -32rs + -4sQ + 4sQ Combine like terms: 32rs + -32rs = 0 qQ + -8qr + -32rs + 4sQ = 0 + -4sQ + 4sQ qQ + -8qr + -32rs + 4sQ = -4sQ + 4sQ Combine like terms: -4sQ + 4sQ = 0 qQ + -8qr + -32rs + 4sQ = 0 The solution to this equation could not be determined.
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