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Simplifying 3p2 + -3p + 10 = 0 Reorder the terms: 10 + -3p + 3p2 = 0 Solving 10 + -3p + 3p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3.333333333 + -1p + p2 = 0 Move the constant term to the right: Add '-3.333333333' to each side of the equation. 3.333333333 + -1p + -3.333333333 + p2 = 0 + -3.333333333 Reorder the terms: 3.333333333 + -3.333333333 + -1p + p2 = 0 + -3.333333333 Combine like terms: 3.333333333 + -3.333333333 = 0.000000000 0.000000000 + -1p + p2 = 0 + -3.333333333 -1p + p2 = 0 + -3.333333333 Combine like terms: 0 + -3.333333333 = -3.333333333 -1p + p2 = -3.333333333 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 = -3.333333333 + 0.25 Reorder the terms: 0.25 + -1p + p2 = -3.333333333 + 0.25 Combine like terms: -3.333333333 + 0.25 = -3.083333333 0.25 + -1p + p2 = -3.083333333 Factor a perfect square on the left side: (p + -0.5)(p + -0.5) = -3.083333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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