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Simplifying 8y2 + 17y + 12 = 0 Reorder the terms: 12 + 17y + 8y2 = 0 Solving 12 + 17y + 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'. 1.5 + 2.125y + y2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 2.125y + -1.5 + y2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 2.125y + y2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2.125y + y2 = 0 + -1.5 2.125y + y2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 2.125y + y2 = -1.5 The y term is 2.125y. Take half its coefficient (1.0625). Square it (1.12890625) and add it to both sides. Add '1.12890625' to each side of the equation. 2.125y + 1.12890625 + y2 = -1.5 + 1.12890625 Reorder the terms: 1.12890625 + 2.125y + y2 = -1.5 + 1.12890625 Combine like terms: -1.5 + 1.12890625 = -0.37109375 1.12890625 + 2.125y + y2 = -0.37109375 Factor a perfect square on the left side: (y + 1.0625)(y + 1.0625) = -0.37109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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