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Simplifying 5y4 + -1y2 + 1.5 = 0 Reorder the terms: 1.5 + -1y2 + 5y4 = 0 Solving 1.5 + -1y2 + 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'. 0.3 + -0.2y2 + y4 = 0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -0.2y2 + -0.3 + y4 = 0 + -0.3 Reorder the terms: 0.3 + -0.3 + -0.2y2 + y4 = 0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.2y2 + y4 = 0 + -0.3 -0.2y2 + y4 = 0 + -0.3 Combine like terms: 0 + -0.3 = -0.3 -0.2y2 + y4 = -0.3 The y term is -0.2y2. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2y2 + 0.01 + y4 = -0.3 + 0.01 Reorder the terms: 0.01 + -0.2y2 + y4 = -0.3 + 0.01 Combine like terms: -0.3 + 0.01 = -0.29 0.01 + -0.2y2 + y4 = -0.29 Factor a perfect square on the left side: (y2 + -0.1)(y2 + -0.1) = -0.29 Can't calculate square root of the right side. The solution to this equation could not be determined.
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