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Simplifying 12y2 + -9y + 4 = 0 Reorder the terms: 4 + -9y + 12y2 = 0 Solving 4 + -9y + 12y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.3333333333 + -0.75y + y2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + -0.75y + -0.3333333333 + y2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + -0.75y + y2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + -0.75y + y2 = 0 + -0.3333333333 -0.75y + y2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 -0.75y + y2 = -0.3333333333 The y term is -0.75y. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75y + 0.140625 + y2 = -0.3333333333 + 0.140625 Reorder the terms: 0.140625 + -0.75y + y2 = -0.3333333333 + 0.140625 Combine like terms: -0.3333333333 + 0.140625 = -0.1927083333 0.140625 + -0.75y + y2 = -0.1927083333 Factor a perfect square on the left side: (y + -0.375)(y + -0.375) = -0.1927083333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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