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Simplifying (y + 5) + (2y + 4y2 + -2) = 0 Reorder the terms: (5 + y) + (2y + 4y2 + -2) = 0 Remove parenthesis around (5 + y) 5 + y + (2y + 4y2 + -2) = 0 Reorder the terms: 5 + y + (-2 + 2y + 4y2) = 0 Remove parenthesis around (-2 + 2y + 4y2) 5 + y + -2 + 2y + 4y2 = 0 Reorder the terms: 5 + -2 + y + 2y + 4y2 = 0 Combine like terms: 5 + -2 = 3 3 + y + 2y + 4y2 = 0 Combine like terms: y + 2y = 3y 3 + 3y + 4y2 = 0 Solving 3 + 3y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.75 + 0.75y + y2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + 0.75y + -0.75 + y2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + 0.75y + y2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.75y + y2 = 0 + -0.75 0.75y + y2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 0.75y + y2 = -0.75 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 = -0.75 + 0.140625 Reorder the terms: 0.140625 + 0.75y + y2 = -0.75 + 0.140625 Combine like terms: -0.75 + 0.140625 = -0.609375 0.140625 + 0.75y + y2 = -0.609375 Factor a perfect square on the left side: (y + 0.375)(y + 0.375) = -0.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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