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Simplifying (3p2 + -2p + 3) + (p2 + -7p + 7) = 0 Reorder the terms: (3 + -2p + 3p2) + (p2 + -7p + 7) = 0 Remove parenthesis around (3 + -2p + 3p2) 3 + -2p + 3p2 + (p2 + -7p + 7) = 0 Reorder the terms: 3 + -2p + 3p2 + (7 + -7p + p2) = 0 Remove parenthesis around (7 + -7p + p2) 3 + -2p + 3p2 + 7 + -7p + p2 = 0 Reorder the terms: 3 + 7 + -2p + -7p + 3p2 + p2 = 0 Combine like terms: 3 + 7 = 10 10 + -2p + -7p + 3p2 + p2 = 0 Combine like terms: -2p + -7p = -9p 10 + -9p + 3p2 + p2 = 0 Combine like terms: 3p2 + p2 = 4p2 10 + -9p + 4p2 = 0 Solving 10 + -9p + 4p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.5 + -2.25p + p2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -2.25p + -2.5 + p2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -2.25p + p2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2.25p + p2 = 0 + -2.5 -2.25p + p2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -2.25p + p2 = -2.5 The p term is -2.25p. Take half its coefficient (-1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. -2.25p + 1.265625 + p2 = -2.5 + 1.265625 Reorder the terms: 1.265625 + -2.25p + p2 = -2.5 + 1.265625 Combine like terms: -2.5 + 1.265625 = -1.234375 1.265625 + -2.25p + p2 = -1.234375 Factor a perfect square on the left side: (p + -1.125)(p + -1.125) = -1.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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