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Simplifying (3p2 + -5p + 3) + (8p2 + -6p) = 0 Reorder the terms: (3 + -5p + 3p2) + (8p2 + -6p) = 0 Remove parenthesis around (3 + -5p + 3p2) 3 + -5p + 3p2 + (8p2 + -6p) = 0 Reorder the terms: 3 + -5p + 3p2 + (-6p + 8p2) = 0 Remove parenthesis around (-6p + 8p2) 3 + -5p + 3p2 + -6p + 8p2 = 0 Reorder the terms: 3 + -5p + -6p + 3p2 + 8p2 = 0 Combine like terms: -5p + -6p = -11p 3 + -11p + 3p2 + 8p2 = 0 Combine like terms: 3p2 + 8p2 = 11p2 3 + -11p + 11p2 = 0 Solving 3 + -11p + 11p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.2727272727 + -1p + p2 = 0 Move the constant term to the right: Add '-0.2727272727' to each side of the equation. 0.2727272727 + -1p + -0.2727272727 + p2 = 0 + -0.2727272727 Reorder the terms: 0.2727272727 + -0.2727272727 + -1p + p2 = 0 + -0.2727272727 Combine like terms: 0.2727272727 + -0.2727272727 = 0.0000000000 0.0000000000 + -1p + p2 = 0 + -0.2727272727 -1p + p2 = 0 + -0.2727272727 Combine like terms: 0 + -0.2727272727 = -0.2727272727 -1p + p2 = -0.2727272727 The p term is -1p. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1p + 0.25 + p2 = -0.2727272727 + 0.25 Reorder the terms: 0.25 + -1p + p2 = -0.2727272727 + 0.25 Combine like terms: -0.2727272727 + 0.25 = -0.0227272727 0.25 + -1p + p2 = -0.0227272727 Factor a perfect square on the left side: (p + -0.5)(p + -0.5) = -0.0227272727 Can't calculate square root of the right side. The solution to this equation could not be determined.
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