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Simplifying 8p2 + -5p + 15 = 10 Reorder the terms: 15 + -5p + 8p2 = 10 Solving 15 + -5p + 8p2 = 10 Solving for variable 'p'. Reorder the terms: 15 + -10 + -5p + 8p2 = 10 + -10 Combine like terms: 15 + -10 = 5 5 + -5p + 8p2 = 10 + -10 Combine like terms: 10 + -10 = 0 5 + -5p + 8p2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + -0.625p + p2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.625p + -0.625 + p2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.625p + p2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.625p + p2 = 0 + -0.625 -0.625p + p2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.625p + p2 = -0.625 The p term is -0.625p. Take half its coefficient (-0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. -0.625p + 0.09765625 + p2 = -0.625 + 0.09765625 Reorder the terms: 0.09765625 + -0.625p + p2 = -0.625 + 0.09765625 Combine like terms: -0.625 + 0.09765625 = -0.52734375 0.09765625 + -0.625p + p2 = -0.52734375 Factor a perfect square on the left side: (p + -0.3125)(p + -0.3125) = -0.52734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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