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Simplifying 2.25y2 + 5y + 12 = 0 Reorder the terms: 12 + 5y + 2.25y2 = 0 Solving 12 + 5y + 2.25y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 2.25 the coefficient of the squared term: Divide each side by '2.25'. 5.333333333 + 2.222222222y + y2 = 0 Move the constant term to the right: Add '-5.333333333' to each side of the equation. 5.333333333 + 2.222222222y + -5.333333333 + y2 = 0 + -5.333333333 Reorder the terms: 5.333333333 + -5.333333333 + 2.222222222y + y2 = 0 + -5.333333333 Combine like terms: 5.333333333 + -5.333333333 = 0.000000000 0.000000000 + 2.222222222y + y2 = 0 + -5.333333333 2.222222222y + y2 = 0 + -5.333333333 Combine like terms: 0 + -5.333333333 = -5.333333333 2.222222222y + y2 = -5.333333333 The y term is 2.222222222y. Take half its coefficient (1.111111111). Square it (1.234567901) and add it to both sides. Add '1.234567901' to each side of the equation. 2.222222222y + 1.234567901 + y2 = -5.333333333 + 1.234567901 Reorder the terms: 1.234567901 + 2.222222222y + y2 = -5.333333333 + 1.234567901 Combine like terms: -5.333333333 + 1.234567901 = -4.098765432 1.234567901 + 2.222222222y + y2 = -4.098765432 Factor a perfect square on the left side: (y + 1.111111111)(y + 1.111111111) = -4.098765432 Can't calculate square root of the right side. The solution to this equation could not be determined.
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