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Simplifying p2 + -6p = -91 Reorder the terms: -6p + p2 = -91 Solving -6p + p2 = -91 Solving for variable 'p'. Reorder the terms: 91 + -6p + p2 = -91 + 91 Combine like terms: -91 + 91 = 0 91 + -6p + p2 = 0 Begin completing the square. Move the constant term to the right: Add '-91' to each side of the equation. 91 + -6p + -91 + p2 = 0 + -91 Reorder the terms: 91 + -91 + -6p + p2 = 0 + -91 Combine like terms: 91 + -91 = 0 0 + -6p + p2 = 0 + -91 -6p + p2 = 0 + -91 Combine like terms: 0 + -91 = -91 -6p + p2 = -91 The p term is -6p. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6p + 9 + p2 = -91 + 9 Reorder the terms: 9 + -6p + p2 = -91 + 9 Combine like terms: -91 + 9 = -82 9 + -6p + p2 = -82 Factor a perfect square on the left side: (p + -3)(p + -3) = -82 Can't calculate square root of the right side. The solution to this equation could not be determined.
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