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Simplifying 2y2 + 4y + 3 = 0 Reorder the terms: 3 + 4y + 2y2 = 0 Solving 3 + 4y + 2y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + 2y + y2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 2y + -1.5 + y2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 2y + y2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2y + y2 = 0 + -1.5 2y + y2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 2y + y2 = -1.5 The y term is 2y. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2y + 1 + y2 = -1.5 + 1 Reorder the terms: 1 + 2y + y2 = -1.5 + 1 Combine like terms: -1.5 + 1 = -0.5 1 + 2y + y2 = -0.5 Factor a perfect square on the left side: (y + 1)(y + 1) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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