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Simplifying 4p4 + -5p2 = -6 Reorder the terms: -5p2 + 4p4 = -6 Solving -5p2 + 4p4 = -6 Solving for variable 'p'. Reorder the terms: 6 + -5p2 + 4p4 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + -5p2 + 4p4 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.5 + -1.25p2 + p4 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -1.25p2 + -1.5 + p4 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -1.25p2 + p4 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.25p2 + p4 = 0 + -1.5 -1.25p2 + p4 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -1.25p2 + p4 = -1.5 The p term is -1.25p2. 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. -1.25p2 + 0.390625 + p4 = -1.5 + 0.390625 Reorder the terms: 0.390625 + -1.25p2 + p4 = -1.5 + 0.390625 Combine like terms: -1.5 + 0.390625 = -1.109375 0.390625 + -1.25p2 + p4 = -1.109375 Factor a perfect square on the left side: (p2 + -0.625)(p2 + -0.625) = -1.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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