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Simplifying 4p2 + 27p + 50 = 0 Reorder the terms: 50 + 27p + 4p2 = 0 Solving 50 + 27p + 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'. 12.5 + 6.75p + p2 = 0 Move the constant term to the right: Add '-12.5' to each side of the equation. 12.5 + 6.75p + -12.5 + p2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + 6.75p + p2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 6.75p + p2 = 0 + -12.5 6.75p + p2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 6.75p + p2 = -12.5 The p term is 6.75p. Take half its coefficient (3.375). Square it (11.390625) and add it to both sides. Add '11.390625' to each side of the equation. 6.75p + 11.390625 + p2 = -12.5 + 11.390625 Reorder the terms: 11.390625 + 6.75p + p2 = -12.5 + 11.390625 Combine like terms: -12.5 + 11.390625 = -1.109375 11.390625 + 6.75p + p2 = -1.109375 Factor a perfect square on the left side: (p + 3.375)(p + 3.375) = -1.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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