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Simplifying y2 + 6y + 3 = -150 Reorder the terms: 3 + 6y + y2 = -150 Solving 3 + 6y + y2 = -150 Solving for variable 'y'. Reorder the terms: 3 + 150 + 6y + y2 = -150 + 150 Combine like terms: 3 + 150 = 153 153 + 6y + y2 = -150 + 150 Combine like terms: -150 + 150 = 0 153 + 6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-153' to each side of the equation. 153 + 6y + -153 + y2 = 0 + -153 Reorder the terms: 153 + -153 + 6y + y2 = 0 + -153 Combine like terms: 153 + -153 = 0 0 + 6y + y2 = 0 + -153 6y + y2 = 0 + -153 Combine like terms: 0 + -153 = -153 6y + y2 = -153 The y term is 6y. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6y + 9 + y2 = -153 + 9 Reorder the terms: 9 + 6y + y2 = -153 + 9 Combine like terms: -153 + 9 = -144 9 + 6y + y2 = -144 Factor a perfect square on the left side: (y + 3)(y + 3) = -144 Can't calculate square root of the right side. The solution to this equation could not be determined.
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