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Simplifying -8y2 + 6y = 5 Reorder the terms: 6y + -8y2 = 5 Solving 6y + -8y2 = 5 Solving for variable 'y'. Reorder the terms: -5 + 6y + -8y2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + 6y + -8y2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.625 + -0.75y + y2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.75y + -0.625 + y2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.75y + y2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.75y + y2 = 0 + -0.625 -0.75y + y2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.75y + y2 = -0.625 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 = -0.625 + 0.140625 Reorder the terms: 0.140625 + -0.75y + y2 = -0.625 + 0.140625 Combine like terms: -0.625 + 0.140625 = -0.484375 0.140625 + -0.75y + y2 = -0.484375 Factor a perfect square on the left side: (y + -0.375)(y + -0.375) = -0.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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