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Simplifying 9p2 + 22p + 15 = 0 Reorder the terms: 15 + 22p + 9p2 = 0 Solving 15 + 22p + 9p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.666666667 + 2.444444444p + p2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + 2.444444444p + -1.666666667 + p2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + 2.444444444p + p2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + 2.444444444p + p2 = 0 + -1.666666667 2.444444444p + p2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 2.444444444p + p2 = -1.666666667 The p term is 2.444444444p. Take half its coefficient (1.222222222). Square it (1.493827160) and add it to both sides. Add '1.493827160' to each side of the equation. 2.444444444p + 1.493827160 + p2 = -1.666666667 + 1.493827160 Reorder the terms: 1.493827160 + 2.444444444p + p2 = -1.666666667 + 1.493827160 Combine like terms: -1.666666667 + 1.493827160 = -0.172839507 1.493827160 + 2.444444444p + p2 = -0.172839507 Factor a perfect square on the left side: (p + 1.222222222)(p + 1.222222222) = -0.172839507 Can't calculate square root of the right side. The solution to this equation could not be determined.
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