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Simplifying 20y2 + -9y + 30 = 0 Reorder the terms: 30 + -9y + 20y2 = 0 Solving 30 + -9y + 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'. 1.5 + -0.45y + y2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -0.45y + -1.5 + y2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -0.45y + y2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.45y + y2 = 0 + -1.5 -0.45y + y2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -0.45y + y2 = -1.5 The y term is -0.45y. Take half its coefficient (-0.225). Square it (0.050625) and add it to both sides. Add '0.050625' to each side of the equation. -0.45y + 0.050625 + y2 = -1.5 + 0.050625 Reorder the terms: 0.050625 + -0.45y + y2 = -1.5 + 0.050625 Combine like terms: -1.5 + 0.050625 = -1.449375 0.050625 + -0.45y + y2 = -1.449375 Factor a perfect square on the left side: (y + -0.225)(y + -0.225) = -1.449375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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