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Simplifying x * xp + -1y * yq = z * z Multiply x * px px2 + -1y * yq = z * z Multiply y * qy px2 + -1qy2 = z * z Multiply z * z px2 + -1qy2 = z2 Solving px2 + -1qy2 = z2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'qy2' to each side of the equation. px2 + -1qy2 + qy2 = qy2 + z2 Combine like terms: -1qy2 + qy2 = 0 px2 + 0 = qy2 + z2 px2 = qy2 + z2 Divide each side by 'x2'. p = qx-2y2 + x-2z2 Simplifying p = qx-2y2 + x-2z2
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