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Simplifying 8y2 = -7y + -8 Reorder the terms: 8y2 = -8 + -7y Solving 8y2 = -8 + -7y Solving for variable 'y'. Reorder the terms: 8 + 7y + 8y2 = -8 + -7y + 8 + 7y Reorder the terms: 8 + 7y + 8y2 = -8 + 8 + -7y + 7y Combine like terms: -8 + 8 = 0 8 + 7y + 8y2 = 0 + -7y + 7y 8 + 7y + 8y2 = -7y + 7y Combine like terms: -7y + 7y = 0 8 + 7y + 8y2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1 + 0.875y + y2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.875y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + 0.875y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.875y + y2 = 0 + -1 0.875y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.875y + y2 = -1 The y term is 0.875y. Take half its coefficient (0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. 0.875y + 0.19140625 + y2 = -1 + 0.19140625 Reorder the terms: 0.19140625 + 0.875y + y2 = -1 + 0.19140625 Combine like terms: -1 + 0.19140625 = -0.80859375 0.19140625 + 0.875y + y2 = -0.80859375 Factor a perfect square on the left side: (y + 0.4375)(y + 0.4375) = -0.80859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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