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Simplifying 2p2 + 14p + 28 = 0 Reorder the terms: 28 + 14p + 2p2 = 0 Solving 28 + 14p + 2p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(14 + 7p + p2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + 7p + p2)' equal to zero and attempt to solve: Simplifying 14 + 7p + p2 = 0 Solving 14 + 7p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + 7p + -14 + p2 = 0 + -14 Reorder the terms: 14 + -14 + 7p + p2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7p + p2 = 0 + -14 7p + p2 = 0 + -14 Combine like terms: 0 + -14 = -14 7p + p2 = -14 The p term is 7p. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7p + 12.25 + p2 = -14 + 12.25 Reorder the terms: 12.25 + 7p + p2 = -14 + 12.25 Combine like terms: -14 + 12.25 = -1.75 12.25 + 7p + p2 = -1.75 Factor a perfect square on the left side: (p + 3.5)(p + 3.5) = -1.75 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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