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Simplifying 12p2 + 19p + 25 = 0 Reorder the terms: 25 + 19p + 12p2 = 0 Solving 25 + 19p + 12p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 2.083333333 + 1.583333333p + p2 = 0 Move the constant term to the right: Add '-2.083333333' to each side of the equation. 2.083333333 + 1.583333333p + -2.083333333 + p2 = 0 + -2.083333333 Reorder the terms: 2.083333333 + -2.083333333 + 1.583333333p + p2 = 0 + -2.083333333 Combine like terms: 2.083333333 + -2.083333333 = 0.000000000 0.000000000 + 1.583333333p + p2 = 0 + -2.083333333 1.583333333p + p2 = 0 + -2.083333333 Combine like terms: 0 + -2.083333333 = -2.083333333 1.583333333p + p2 = -2.083333333 The p term is 1.583333333p. Take half its coefficient (0.7916666665). Square it (0.6267361108) and add it to both sides. Add '0.6267361108' to each side of the equation. 1.583333333p + 0.6267361108 + p2 = -2.083333333 + 0.6267361108 Reorder the terms: 0.6267361108 + 1.583333333p + p2 = -2.083333333 + 0.6267361108 Combine like terms: -2.083333333 + 0.6267361108 = -1.4565972222 0.6267361108 + 1.583333333p + p2 = -1.4565972222 Factor a perfect square on the left side: (p + 0.7916666665)(p + 0.7916666665) = -1.4565972222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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