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Simplifying 8p2 + -2p + 25 = 7p2 Reorder the terms: 25 + -2p + 8p2 = 7p2 Solving 25 + -2p + 8p2 = 7p2 Solving for variable 'p'. Combine like terms: 8p2 + -7p2 = 1p2 25 + -2p + 1p2 = 7p2 + -7p2 Combine like terms: 7p2 + -7p2 = 0 25 + -2p + 1p2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -2p + -25 + p2 = 0 + -25 Reorder the terms: 25 + -25 + -2p + p2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2p + p2 = 0 + -25 -2p + p2 = 0 + -25 Combine like terms: 0 + -25 = -25 -2p + p2 = -25 The p term is -2p. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2p + 1 + p2 = -25 + 1 Reorder the terms: 1 + -2p + p2 = -25 + 1 Combine like terms: -25 + 1 = -24 1 + -2p + p2 = -24 Factor a perfect square on the left side: (p + -1)(p + -1) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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