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Simplifying 2P2 + 2P + 32 = 0 Reorder the terms: 32 + 2P + 2P2 = 0 Solving 32 + 2P + 2P2 = 0 Solving for variable 'P'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + P + P2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(16 + P + P2)' equal to zero and attempt to solve: Simplifying 16 + P + P2 = 0 Solving 16 + P + P2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + P + -16 + P2 = 0 + -16 Reorder the terms: 16 + -16 + P + P2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + P + P2 = 0 + -16 P + P2 = 0 + -16 Combine like terms: 0 + -16 = -16 P + P2 = -16 The P term is P. 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. P + 0.25 + P2 = -16 + 0.25 Reorder the terms: 0.25 + P + P2 = -16 + 0.25 Combine like terms: -16 + 0.25 = -15.75 0.25 + P + P2 = -15.75 Factor a perfect square on the left side: (P + 0.5)(P + 0.5) = -15.75 Can't calculate square root of the right side. 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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