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Simplifying p2 + -8p = -36 Reorder the terms: -8p + p2 = -36 Solving -8p + p2 = -36 Solving for variable 'p'. Reorder the terms: 36 + -8p + p2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + -8p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -8p + -36 + p2 = 0 + -36 Reorder the terms: 36 + -36 + -8p + p2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -8p + p2 = 0 + -36 -8p + p2 = 0 + -36 Combine like terms: 0 + -36 = -36 -8p + p2 = -36 The p term is -8p. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8p + 16 + p2 = -36 + 16 Reorder the terms: 16 + -8p + p2 = -36 + 16 Combine like terms: -36 + 16 = -20 16 + -8p + p2 = -20 Factor a perfect square on the left side: (p + -4)(p + -4) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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