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Simplifying 5y2 + 12y + 36 = 0 Reorder the terms: 36 + 12y + 5y2 = 0 Solving 36 + 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'. 7.2 + 2.4y + y2 = 0 Move the constant term to the right: Add '-7.2' to each side of the equation. 7.2 + 2.4y + -7.2 + y2 = 0 + -7.2 Reorder the terms: 7.2 + -7.2 + 2.4y + y2 = 0 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + 2.4y + y2 = 0 + -7.2 2.4y + y2 = 0 + -7.2 Combine like terms: 0 + -7.2 = -7.2 2.4y + y2 = -7.2 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 = -7.2 + 1.44 Reorder the terms: 1.44 + 2.4y + y2 = -7.2 + 1.44 Combine like terms: -7.2 + 1.44 = -5.76 1.44 + 2.4y + y2 = -5.76 Factor a perfect square on the left side: (y + 1.2)(y + 1.2) = -5.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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