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Simplifying 12 = -3p2 + 7p + 3 Reorder the terms: 12 = 3 + 7p + -3p2 Solving 12 = 3 + 7p + -3p2 Solving for variable 'p'. Combine like terms: 12 + -3 = 9 9 + -7p + 3p2 = 3 + 7p + -3p2 + -3 + -7p + 3p2 Reorder the terms: 9 + -7p + 3p2 = 3 + -3 + 7p + -7p + -3p2 + 3p2 Combine like terms: 3 + -3 = 0 9 + -7p + 3p2 = 0 + 7p + -7p + -3p2 + 3p2 9 + -7p + 3p2 = 7p + -7p + -3p2 + 3p2 Combine like terms: 7p + -7p = 0 9 + -7p + 3p2 = 0 + -3p2 + 3p2 9 + -7p + 3p2 = -3p2 + 3p2 Combine like terms: -3p2 + 3p2 = 0 9 + -7p + 3p2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3 + -2.333333333p + p2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -2.333333333p + -3 + p2 = 0 + -3 Reorder the terms: 3 + -3 + -2.333333333p + p2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2.333333333p + p2 = 0 + -3 -2.333333333p + p2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2.333333333p + p2 = -3 The p term is -2.333333333p. Take half its coefficient (-1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. -2.333333333p + 1.361111112 + p2 = -3 + 1.361111112 Reorder the terms: 1.361111112 + -2.333333333p + p2 = -3 + 1.361111112 Combine like terms: -3 + 1.361111112 = -1.638888888 1.361111112 + -2.333333333p + p2 = -1.638888888 Factor a perfect square on the left side: (p + -1.166666667)(p + -1.166666667) = -1.638888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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