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Simplifying -5y4 + 44y2 + -576 = 0 Reorder the terms: -576 + 44y2 + -5y4 = 0 Solving -576 + 44y2 + -5y4 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 115.2 + -8.8y2 + y4 = 0 Move the constant term to the right: Add '-115.2' to each side of the equation. 115.2 + -8.8y2 + -115.2 + y4 = 0 + -115.2 Reorder the terms: 115.2 + -115.2 + -8.8y2 + y4 = 0 + -115.2 Combine like terms: 115.2 + -115.2 = 0.0 0.0 + -8.8y2 + y4 = 0 + -115.2 -8.8y2 + y4 = 0 + -115.2 Combine like terms: 0 + -115.2 = -115.2 -8.8y2 + y4 = -115.2 The y term is -8.8y2. Take half its coefficient (-4.4). Square it (19.36) and add it to both sides. Add '19.36' to each side of the equation. -8.8y2 + 19.36 + y4 = -115.2 + 19.36 Reorder the terms: 19.36 + -8.8y2 + y4 = -115.2 + 19.36 Combine like terms: -115.2 + 19.36 = -95.84 19.36 + -8.8y2 + y4 = -95.84 Factor a perfect square on the left side: (y2 + -4.4)(y2 + -4.4) = -95.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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