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Simplifying 12p2 = -13p + -15 Reorder the terms: 12p2 = -15 + -13p Solving 12p2 = -15 + -13p Solving for variable 'p'. Reorder the terms: 15 + 13p + 12p2 = -15 + -13p + 15 + 13p Reorder the terms: 15 + 13p + 12p2 = -15 + 15 + -13p + 13p Combine like terms: -15 + 15 = 0 15 + 13p + 12p2 = 0 + -13p + 13p 15 + 13p + 12p2 = -13p + 13p Combine like terms: -13p + 13p = 0 15 + 13p + 12p2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.25 + 1.083333333p + p2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + 1.083333333p + -1.25 + p2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + 1.083333333p + p2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 1.083333333p + p2 = 0 + -1.25 1.083333333p + p2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 1.083333333p + p2 = -1.25 The p term is 1.083333333p. Take half its coefficient (0.5416666665). Square it (0.2934027776) and add it to both sides. Add '0.2934027776' to each side of the equation. 1.083333333p + 0.2934027776 + p2 = -1.25 + 0.2934027776 Reorder the terms: 0.2934027776 + 1.083333333p + p2 = -1.25 + 0.2934027776 Combine like terms: -1.25 + 0.2934027776 = -0.9565972224 0.2934027776 + 1.083333333p + p2 = -0.9565972224 Factor a perfect square on the left side: (p + 0.5416666665)(p + 0.5416666665) = -0.9565972224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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