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Simplifying 76 = 8P + -2P2 Solving 76 = 8P + -2P2 Solving for variable 'P'. Reorder the terms: 76 + -8P + 2P2 = 8P + -8P + -2P2 + 2P2 Combine like terms: 8P + -8P = 0 76 + -8P + 2P2 = 0 + -2P2 + 2P2 76 + -8P + 2P2 = -2P2 + 2P2 Combine like terms: -2P2 + 2P2 = 0 76 + -8P + 2P2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(38 + -4P + P2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(38 + -4P + P2)' equal to zero and attempt to solve: Simplifying 38 + -4P + P2 = 0 Solving 38 + -4P + P2 = 0 Begin completing the square. Move the constant term to the right: Add '-38' to each side of the equation. 38 + -4P + -38 + P2 = 0 + -38 Reorder the terms: 38 + -38 + -4P + P2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -4P + P2 = 0 + -38 -4P + P2 = 0 + -38 Combine like terms: 0 + -38 = -38 -4P + P2 = -38 The P term is -4P. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4P + 4 + P2 = -38 + 4 Reorder the terms: 4 + -4P + P2 = -38 + 4 Combine like terms: -38 + 4 = -34 4 + -4P + P2 = -34 Factor a perfect square on the left side: (P + -2)(P + -2) = -34 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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