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Simplifying 9y2 + 32y + 37 = 0 Reorder the terms: 37 + 32y + 9y2 = 0 Solving 37 + 32y + 9y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 4.111111111 + 3.555555556y + y2 = 0 Move the constant term to the right: Add '-4.111111111' to each side of the equation. 4.111111111 + 3.555555556y + -4.111111111 + y2 = 0 + -4.111111111 Reorder the terms: 4.111111111 + -4.111111111 + 3.555555556y + y2 = 0 + -4.111111111 Combine like terms: 4.111111111 + -4.111111111 = 0.000000000 0.000000000 + 3.555555556y + y2 = 0 + -4.111111111 3.555555556y + y2 = 0 + -4.111111111 Combine like terms: 0 + -4.111111111 = -4.111111111 3.555555556y + y2 = -4.111111111 The y term is 3.555555556y. Take half its coefficient (1.777777778). Square it (3.160493828) and add it to both sides. Add '3.160493828' to each side of the equation. 3.555555556y + 3.160493828 + y2 = -4.111111111 + 3.160493828 Reorder the terms: 3.160493828 + 3.555555556y + y2 = -4.111111111 + 3.160493828 Combine like terms: -4.111111111 + 3.160493828 = -0.950617283 3.160493828 + 3.555555556y + y2 = -0.950617283 Factor a perfect square on the left side: (y + 1.777777778)(y + 1.777777778) = -0.950617283 Can't calculate square root of the right side. The solution to this equation could not be determined.
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