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Simplifying 12p2 = -5 + -11p Solving 12p2 = -5 + -11p Solving for variable 'p'. Reorder the terms: 5 + 11p + 12p2 = -5 + -11p + 5 + 11p Reorder the terms: 5 + 11p + 12p2 = -5 + 5 + -11p + 11p Combine like terms: -5 + 5 = 0 5 + 11p + 12p2 = 0 + -11p + 11p 5 + 11p + 12p2 = -11p + 11p Combine like terms: -11p + 11p = 0 5 + 11p + 12p2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.4166666667 + 0.9166666667p + p2 = 0 Move the constant term to the right: Add '-0.4166666667' to each side of the equation. 0.4166666667 + 0.9166666667p + -0.4166666667 + p2 = 0 + -0.4166666667 Reorder the terms: 0.4166666667 + -0.4166666667 + 0.9166666667p + p2 = 0 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + 0.9166666667p + p2 = 0 + -0.4166666667 0.9166666667p + p2 = 0 + -0.4166666667 Combine like terms: 0 + -0.4166666667 = -0.4166666667 0.9166666667p + p2 = -0.4166666667 The p term is 0.9166666667p. Take half its coefficient (0.4583333334). Square it (0.2100694445) and add it to both sides. Add '0.2100694445' to each side of the equation. 0.9166666667p + 0.2100694445 + p2 = -0.4166666667 + 0.2100694445 Reorder the terms: 0.2100694445 + 0.9166666667p + p2 = -0.4166666667 + 0.2100694445 Combine like terms: -0.4166666667 + 0.2100694445 = -0.2065972222 0.2100694445 + 0.9166666667p + p2 = -0.2065972222 Factor a perfect square on the left side: (p + 0.4583333334)(p + 0.4583333334) = -0.2065972222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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