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Simplifying 20y2 + 3y + 10 = 0 Reorder the terms: 10 + 3y + 20y2 = 0 Solving 10 + 3y + 20y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.5 + 0.15y + y2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.15y + -0.5 + y2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.15y + y2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.15y + y2 = 0 + -0.5 0.15y + y2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 0.15y + y2 = -0.5 The y term is 0.15y. Take half its coefficient (0.075). Square it (0.005625) and add it to both sides. Add '0.005625' to each side of the equation. 0.15y + 0.005625 + y2 = -0.5 + 0.005625 Reorder the terms: 0.005625 + 0.15y + y2 = -0.5 + 0.005625 Combine like terms: -0.5 + 0.005625 = -0.494375 0.005625 + 0.15y + y2 = -0.494375 Factor a perfect square on the left side: (y + 0.075)(y + 0.075) = -0.494375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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