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Simplifying 7p2 + -2p + -6p + 21 = 0 Reorder the terms: 21 + -2p + -6p + 7p2 = 0 Combine like terms: -2p + -6p = -8p 21 + -8p + 7p2 = 0 Solving 21 + -8p + 7p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 3 + -1.142857143p + p2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1.142857143p + -3 + p2 = 0 + -3 Reorder the terms: 3 + -3 + -1.142857143p + p2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.142857143p + p2 = 0 + -3 -1.142857143p + p2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1.142857143p + p2 = -3 The p term is -1.142857143p. Take half its coefficient (-0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. -1.142857143p + 0.3265306123 + p2 = -3 + 0.3265306123 Reorder the terms: 0.3265306123 + -1.142857143p + p2 = -3 + 0.3265306123 Combine like terms: -3 + 0.3265306123 = -2.6734693877 0.3265306123 + -1.142857143p + p2 = -2.6734693877 Factor a perfect square on the left side: (p + -0.5714285715)(p + -0.5714285715) = -2.6734693877 Can't calculate square root of the right side. The solution to this equation could not be determined.
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