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Simplifying 5y2 + 12y + 180 = 0 Reorder the terms: 180 + 12y + 5y2 = 0 Solving 180 + 12y + 5y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 36 + 2.4y + y2 = 0 Move the constant term to the right: Add '-36' to each side of the equation. 36 + 2.4y + -36 + y2 = 0 + -36 Reorder the terms: 36 + -36 + 2.4y + y2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 2.4y + y2 = 0 + -36 2.4y + y2 = 0 + -36 Combine like terms: 0 + -36 = -36 2.4y + y2 = -36 The y term is 2.4y. Take half its coefficient (1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. 2.4y + 1.44 + y2 = -36 + 1.44 Reorder the terms: 1.44 + 2.4y + y2 = -36 + 1.44 Combine like terms: -36 + 1.44 = -34.56 1.44 + 2.4y + y2 = -34.56 Factor a perfect square on the left side: (y + 1.2)(y + 1.2) = -34.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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