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Simplifying 9p2 = -7 + 3p Solving 9p2 = -7 + 3p Solving for variable 'p'. Reorder the terms: 7 + -3p + 9p2 = -7 + 3p + 7 + -3p Reorder the terms: 7 + -3p + 9p2 = -7 + 7 + 3p + -3p Combine like terms: -7 + 7 = 0 7 + -3p + 9p2 = 0 + 3p + -3p 7 + -3p + 9p2 = 3p + -3p Combine like terms: 3p + -3p = 0 7 + -3p + 9p2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.7777777778 + -0.3333333333p + p2 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + -0.3333333333p + -0.7777777778 + p2 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + -0.3333333333p + p2 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + -0.3333333333p + p2 = 0 + -0.7777777778 -0.3333333333p + p2 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 -0.3333333333p + p2 = -0.7777777778 The p term is -0.3333333333p. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333p + 0.02777777779 + p2 = -0.7777777778 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333p + p2 = -0.7777777778 + 0.02777777779 Combine like terms: -0.7777777778 + 0.02777777779 = -0.75000000001 0.02777777779 + -0.3333333333p + p2 = -0.75000000001 Factor a perfect square on the left side: (p + -0.1666666667)(p + -0.1666666667) = -0.75000000001 Can't calculate square root of the right side. The solution to this equation could not be determined.
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