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Simplifying 4p2 + -5p + 44 = 0 Reorder the terms: 44 + -5p + 4p2 = 0 Solving 44 + -5p + 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'. 11 + -1.25p + p2 = 0 Move the constant term to the right: Add '-11' to each side of the equation. 11 + -1.25p + -11 + p2 = 0 + -11 Reorder the terms: 11 + -11 + -1.25p + p2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1.25p + p2 = 0 + -11 -1.25p + p2 = 0 + -11 Combine like terms: 0 + -11 = -11 -1.25p + p2 = -11 The p term is -1.25p. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25p + 0.390625 + p2 = -11 + 0.390625 Reorder the terms: 0.390625 + -1.25p + p2 = -11 + 0.390625 Combine like terms: -11 + 0.390625 = -10.609375 0.390625 + -1.25p + p2 = -10.609375 Factor a perfect square on the left side: (p + -0.625)(p + -0.625) = -10.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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