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Simplifying p2 + pq + q2 = 0 Reorder the terms: pq + p2 + q2 = 0 Solving pq + p2 + q2 = 0 Solving for variable 'p'. Begin completing the square. Move the constant term to the right: Add '-1q2' to each side of the equation. pq + p2 + q2 + -1q2 = 0 + -1q2 Combine like terms: q2 + -1q2 = 0 pq + p2 + 0 = 0 + -1q2 pq + p2 = 0 + -1q2 Remove the zero: pq + p2 = -1q2 The p term is pq. Take half its coefficient (0.5q). Square it (0.25q2) and add it to both sides. Add '0.25q2' to each side of the equation. pq + p2 + 0.25q2 = -1q2 + 0.25q2 Combine like terms: -1q2 + 0.25q2 = -0.75q2 pq + p2 + 0.25q2 = -0.75q2 Factor a perfect square on the left side: (p + 0.5q)(p + 0.5q) = -0.75q2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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