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Simplifying 2y + 4 = (5 + -4y) * y Reorder the terms: 4 + 2y = (5 + -4y) * y Reorder the terms for easier multiplication: 4 + 2y = y(5 + -4y) 4 + 2y = (5 * y + -4y * y) 4 + 2y = (5y + -4y2) Solving 4 + 2y = 5y + -4y2 Solving for variable 'y'. Combine like terms: 2y + -5y = -3y 4 + -3y + 4y2 = 5y + -4y2 + -5y + 4y2 Reorder the terms: 4 + -3y + 4y2 = 5y + -5y + -4y2 + 4y2 Combine like terms: 5y + -5y = 0 4 + -3y + 4y2 = 0 + -4y2 + 4y2 4 + -3y + 4y2 = -4y2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 4 + -3y + 4y2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1 + -0.75y + y2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.75y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + -0.75y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.75y + y2 = 0 + -1 -0.75y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.75y + y2 = -1 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 = -1 + 0.140625 Reorder the terms: 0.140625 + -0.75y + y2 = -1 + 0.140625 Combine like terms: -1 + 0.140625 = -0.859375 0.140625 + -0.75y + y2 = -0.859375 Factor a perfect square on the left side: (y + -0.375)(y + -0.375) = -0.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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