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Simplifying 2y4 + -3y2 + 18 = 0 Reorder the terms: 18 + -3y2 + 2y4 = 0 Solving 18 + -3y2 + 2y4 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 9 + -1.5y2 + y4 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -1.5y2 + -9 + y4 = 0 + -9 Reorder the terms: 9 + -9 + -1.5y2 + y4 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1.5y2 + y4 = 0 + -9 -1.5y2 + y4 = 0 + -9 Combine like terms: 0 + -9 = -9 -1.5y2 + y4 = -9 The y term is -1.5y2. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5y2 + 0.5625 + y4 = -9 + 0.5625 Reorder the terms: 0.5625 + -1.5y2 + y4 = -9 + 0.5625 Combine like terms: -9 + 0.5625 = -8.4375 0.5625 + -1.5y2 + y4 = -8.4375 Factor a perfect square on the left side: (y2 + -0.75)(y2 + -0.75) = -8.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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