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Simplifying 8y2 + -6y + 23 = 0 Reorder the terms: 23 + -6y + 8y2 = 0 Solving 23 + -6y + 8y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2.875 + -0.75y + y2 = 0 Move the constant term to the right: Add '-2.875' to each side of the equation. 2.875 + -0.75y + -2.875 + y2 = 0 + -2.875 Reorder the terms: 2.875 + -2.875 + -0.75y + y2 = 0 + -2.875 Combine like terms: 2.875 + -2.875 = 0.000 0.000 + -0.75y + y2 = 0 + -2.875 -0.75y + y2 = 0 + -2.875 Combine like terms: 0 + -2.875 = -2.875 -0.75y + y2 = -2.875 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 = -2.875 + 0.140625 Reorder the terms: 0.140625 + -0.75y + y2 = -2.875 + 0.140625 Combine like terms: -2.875 + 0.140625 = -2.734375 0.140625 + -0.75y + y2 = -2.734375 Factor a perfect square on the left side: (y + -0.375)(y + -0.375) = -2.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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