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Simplifying (y2 + 5y + 4) + (7y2 + 2y + 3) = 0 Reorder the terms: (4 + 5y + y2) + (7y2 + 2y + 3) = 0 Remove parenthesis around (4 + 5y + y2) 4 + 5y + y2 + (7y2 + 2y + 3) = 0 Reorder the terms: 4 + 5y + y2 + (3 + 2y + 7y2) = 0 Remove parenthesis around (3 + 2y + 7y2) 4 + 5y + y2 + 3 + 2y + 7y2 = 0 Reorder the terms: 4 + 3 + 5y + 2y + y2 + 7y2 = 0 Combine like terms: 4 + 3 = 7 7 + 5y + 2y + y2 + 7y2 = 0 Combine like terms: 5y + 2y = 7y 7 + 7y + y2 + 7y2 = 0 Combine like terms: y2 + 7y2 = 8y2 7 + 7y + 8y2 = 0 Solving 7 + 7y + 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'. 0.875 + 0.875y + y2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + 0.875y + -0.875 + y2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + 0.875y + y2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 0.875y + y2 = 0 + -0.875 0.875y + y2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 0.875y + y2 = -0.875 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 = -0.875 + 0.19140625 Reorder the terms: 0.19140625 + 0.875y + y2 = -0.875 + 0.19140625 Combine like terms: -0.875 + 0.19140625 = -0.68359375 0.19140625 + 0.875y + y2 = -0.68359375 Factor a perfect square on the left side: (y + 0.4375)(y + 0.4375) = -0.68359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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