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Simplifying -4(p + 2) + 8 = 2(p + -1) * 7p + 15 Reorder the terms: -4(2 + p) + 8 = 2(p + -1) * 7p + 15 (2 * -4 + p * -4) + 8 = 2(p + -1) * 7p + 15 (-8 + -4p) + 8 = 2(p + -1) * 7p + 15 Reorder the terms: -8 + 8 + -4p = 2(p + -1) * 7p + 15 Combine like terms: -8 + 8 = 0 0 + -4p = 2(p + -1) * 7p + 15 -4p = 2(p + -1) * 7p + 15 Reorder the terms: -4p = 2(-1 + p) * 7p + 15 Reorder the terms for easier multiplication: -4p = 2 * 7p(-1 + p) + 15 Multiply 2 * 7 -4p = 14p(-1 + p) + 15 -4p = (-1 * 14p + p * 14p) + 15 -4p = (-14p + 14p2) + 15 Reorder the terms: -4p = 15 + -14p + 14p2 Solving -4p = 15 + -14p + 14p2 Solving for variable 'p'. Reorder the terms: -15 + -4p + 14p + -14p2 = 15 + -14p + 14p2 + -15 + 14p + -14p2 Combine like terms: -4p + 14p = 10p -15 + 10p + -14p2 = 15 + -14p + 14p2 + -15 + 14p + -14p2 Reorder the terms: -15 + 10p + -14p2 = 15 + -15 + -14p + 14p + 14p2 + -14p2 Combine like terms: 15 + -15 = 0 -15 + 10p + -14p2 = 0 + -14p + 14p + 14p2 + -14p2 -15 + 10p + -14p2 = -14p + 14p + 14p2 + -14p2 Combine like terms: -14p + 14p = 0 -15 + 10p + -14p2 = 0 + 14p2 + -14p2 -15 + 10p + -14p2 = 14p2 + -14p2 Combine like terms: 14p2 + -14p2 = 0 -15 + 10p + -14p2 = 0 Begin completing the square. Divide all terms by -14 the coefficient of the squared term: Divide each side by '-14'. 1.071428571 + -0.7142857143p + p2 = 0 Move the constant term to the right: Add '-1.071428571' to each side of the equation. 1.071428571 + -0.7142857143p + -1.071428571 + p2 = 0 + -1.071428571 Reorder the terms: 1.071428571 + -1.071428571 + -0.7142857143p + p2 = 0 + -1.071428571 Combine like terms: 1.071428571 + -1.071428571 = 0.000000000 0.000000000 + -0.7142857143p + p2 = 0 + -1.071428571 -0.7142857143p + p2 = 0 + -1.071428571 Combine like terms: 0 + -1.071428571 = -1.071428571 -0.7142857143p + p2 = -1.071428571 The p term is -0.7142857143p. Take half its coefficient (-0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. -0.7142857143p + 0.1275510204 + p2 = -1.071428571 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143p + p2 = -1.071428571 + 0.1275510204 Combine like terms: -1.071428571 + 0.1275510204 = -0.9438775506 0.1275510204 + -0.7142857143p + p2 = -0.9438775506 Factor a perfect square on the left side: (p + -0.3571428572)(p + -0.3571428572) = -0.9438775506 Can't calculate square root of the right side. The solution to this equation could not be determined.
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