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Simplifying p2 + 25 + 5p = 14p + 1 Reorder the terms: 25 + 5p + p2 = 14p + 1 Reorder the terms: 25 + 5p + p2 = 1 + 14p Solving 25 + 5p + p2 = 1 + 14p Solving for variable 'p'. Reorder the terms: 25 + -1 + 5p + -14p + p2 = 1 + 14p + -1 + -14p Combine like terms: 25 + -1 = 24 24 + 5p + -14p + p2 = 1 + 14p + -1 + -14p Combine like terms: 5p + -14p = -9p 24 + -9p + p2 = 1 + 14p + -1 + -14p Reorder the terms: 24 + -9p + p2 = 1 + -1 + 14p + -14p Combine like terms: 1 + -1 = 0 24 + -9p + p2 = 0 + 14p + -14p 24 + -9p + p2 = 14p + -14p Combine like terms: 14p + -14p = 0 24 + -9p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -9p + -24 + p2 = 0 + -24 Reorder the terms: 24 + -24 + -9p + p2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -9p + p2 = 0 + -24 -9p + p2 = 0 + -24 Combine like terms: 0 + -24 = -24 -9p + p2 = -24 The p term is -9p. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9p + 20.25 + p2 = -24 + 20.25 Reorder the terms: 20.25 + -9p + p2 = -24 + 20.25 Combine like terms: -24 + 20.25 = -3.75 20.25 + -9p + p2 = -3.75 Factor a perfect square on the left side: (p + -4.5)(p + -4.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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