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Simplifying 15p2 + 23p + 15 = 0 Reorder the terms: 15 + 23p + 15p2 = 0 Solving 15 + 23p + 15p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 1 + 1.533333333p + p2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.533333333p + -1 + p2 = 0 + -1 Reorder the terms: 1 + -1 + 1.533333333p + p2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.533333333p + p2 = 0 + -1 1.533333333p + p2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.533333333p + p2 = -1 The p term is 1.533333333p. Take half its coefficient (0.7666666665). Square it (0.5877777775) and add it to both sides. Add '0.5877777775' to each side of the equation. 1.533333333p + 0.5877777775 + p2 = -1 + 0.5877777775 Reorder the terms: 0.5877777775 + 1.533333333p + p2 = -1 + 0.5877777775 Combine like terms: -1 + 0.5877777775 = -0.4122222225 0.5877777775 + 1.533333333p + p2 = -0.4122222225 Factor a perfect square on the left side: (p + 0.7666666665)(p + 0.7666666665) = -0.4122222225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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