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Simplifying 2p2 + 36p + 258 = 0 Reorder the terms: 258 + 36p + 2p2 = 0 Solving 258 + 36p + 2p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(129 + 18p + p2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(129 + 18p + p2)' equal to zero and attempt to solve: Simplifying 129 + 18p + p2 = 0 Solving 129 + 18p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-129' to each side of the equation. 129 + 18p + -129 + p2 = 0 + -129 Reorder the terms: 129 + -129 + 18p + p2 = 0 + -129 Combine like terms: 129 + -129 = 0 0 + 18p + p2 = 0 + -129 18p + p2 = 0 + -129 Combine like terms: 0 + -129 = -129 18p + p2 = -129 The p term is 18p. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18p + 81 + p2 = -129 + 81 Reorder the terms: 81 + 18p + p2 = -129 + 81 Combine like terms: -129 + 81 = -48 81 + 18p + p2 = -48 Factor a perfect square on the left side: (p + 9)(p + 9) = -48 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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