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Simplifying 8y2 + 3y + 675 = 0 Reorder the terms: 675 + 3y + 8y2 = 0 Solving 675 + 3y + 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'. 84.375 + 0.375y + y2 = 0 Move the constant term to the right: Add '-84.375' to each side of the equation. 84.375 + 0.375y + -84.375 + y2 = 0 + -84.375 Reorder the terms: 84.375 + -84.375 + 0.375y + y2 = 0 + -84.375 Combine like terms: 84.375 + -84.375 = 0.000 0.000 + 0.375y + y2 = 0 + -84.375 0.375y + y2 = 0 + -84.375 Combine like terms: 0 + -84.375 = -84.375 0.375y + y2 = -84.375 The y term is 0.375y. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375y + 0.03515625 + y2 = -84.375 + 0.03515625 Reorder the terms: 0.03515625 + 0.375y + y2 = -84.375 + 0.03515625 Combine like terms: -84.375 + 0.03515625 = -84.33984375 0.03515625 + 0.375y + y2 = -84.33984375 Factor a perfect square on the left side: (y + 0.1875)(y + 0.1875) = -84.33984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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