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Simplifying P4 + -60P2 + -799 = 0 Reorder the terms: -799 + -60P2 + P4 = 0 Solving -799 + -60P2 + P4 = 0 Solving for variable 'P'. Begin completing the square. Move the constant term to the right: Add '799' to each side of the equation. -799 + -60P2 + 799 + P4 = 0 + 799 Reorder the terms: -799 + 799 + -60P2 + P4 = 0 + 799 Combine like terms: -799 + 799 = 0 0 + -60P2 + P4 = 0 + 799 -60P2 + P4 = 0 + 799 Combine like terms: 0 + 799 = 799 -60P2 + P4 = 799 The P term is -60P2. Take half its coefficient (-30). Square it (900) and add it to both sides. Add '900' to each side of the equation. -60P2 + 900 + P4 = 799 + 900 Reorder the terms: 900 + -60P2 + P4 = 799 + 900 Combine like terms: 799 + 900 = 1699 900 + -60P2 + P4 = 1699 Factor a perfect square on the left side: (P2 + -30)(P2 + -30) = 1699 Calculate the square root of the right side: 41.218927691 Break this problem into two subproblems by setting (P2 + -30) equal to 41.218927691 and -41.218927691.Subproblem 1
P2 + -30 = 41.218927691 Simplifying P2 + -30 = 41.218927691 Reorder the terms: -30 + P2 = 41.218927691 Solving -30 + P2 = 41.218927691 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + P2 = 41.218927691 + 30 Combine like terms: -30 + 30 = 0 0 + P2 = 41.218927691 + 30 P2 = 41.218927691 + 30 Combine like terms: 41.218927691 + 30 = 71.218927691 P2 = 71.218927691 Simplifying P2 = 71.218927691 Take the square root of each side: P = {-8.439130743, 8.439130743}Subproblem 2
P2 + -30 = -41.218927691 Simplifying P2 + -30 = -41.218927691 Reorder the terms: -30 + P2 = -41.218927691 Solving -30 + P2 = -41.218927691 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + P2 = -41.218927691 + 30 Combine like terms: -30 + 30 = 0 0 + P2 = -41.218927691 + 30 P2 = -41.218927691 + 30 Combine like terms: -41.218927691 + 30 = -11.218927691 P2 = -11.218927691 Simplifying P2 = -11.218927691 Reorder the terms: 11.218927691 + P2 = -11.218927691 + 11.218927691 Combine like terms: -11.218927691 + 11.218927691 = 0.000000000 11.218927691 + P2 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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