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Simplifying p4 + 40 = p2 Reorder the terms: 40 + p4 = p2 Solving 40 + p4 = p2 Solving for variable 'p'. Reorder the terms: 40 + -1p2 + p4 = p2 + -1p2 Combine like terms: p2 + -1p2 = 0 40 + -1p2 + p4 = 0 Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -1p2 + -40 + p4 = 0 + -40 Reorder the terms: 40 + -40 + -1p2 + p4 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1p2 + p4 = 0 + -40 -1p2 + p4 = 0 + -40 Combine like terms: 0 + -40 = -40 -1p2 + p4 = -40 The p term is -1p2. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1p2 + 0.25 + p4 = -40 + 0.25 Reorder the terms: 0.25 + -1p2 + p4 = -40 + 0.25 Combine like terms: -40 + 0.25 = -39.75 0.25 + -1p2 + p4 = -39.75 Factor a perfect square on the left side: (p2 + -0.5)(p2 + -0.5) = -39.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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