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Simplifying (9p2 + -4p + 3) + -1(p2 + -1p + -9) = 0 Reorder the terms: (3 + -4p + 9p2) + -1(p2 + -1p + -9) = 0 Remove parenthesis around (3 + -4p + 9p2) 3 + -4p + 9p2 + -1(p2 + -1p + -9) = 0 Reorder the terms: 3 + -4p + 9p2 + -1(-9 + -1p + p2) = 0 3 + -4p + 9p2 + (-9 * -1 + -1p * -1 + p2 * -1) = 0 3 + -4p + 9p2 + (9 + 1p + -1p2) = 0 Reorder the terms: 3 + 9 + -4p + 1p + 9p2 + -1p2 = 0 Combine like terms: 3 + 9 = 12 12 + -4p + 1p + 9p2 + -1p2 = 0 Combine like terms: -4p + 1p = -3p 12 + -3p + 9p2 + -1p2 = 0 Combine like terms: 9p2 + -1p2 = 8p2 12 + -3p + 8p2 = 0 Solving 12 + -3p + 8p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.5 + -0.375p + p2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -0.375p + -1.5 + p2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -0.375p + p2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.375p + p2 = 0 + -1.5 -0.375p + p2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -0.375p + p2 = -1.5 The p term is -0.375p. Take half its coefficient (-0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. -0.375p + 0.03515625 + p2 = -1.5 + 0.03515625 Reorder the terms: 0.03515625 + -0.375p + p2 = -1.5 + 0.03515625 Combine like terms: -1.5 + 0.03515625 = -1.46484375 0.03515625 + -0.375p + p2 = -1.46484375 Factor a perfect square on the left side: (p + -0.1875)(p + -0.1875) = -1.46484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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