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Simplifying x2 + 33x + 360 = 0 Reorder the terms: 360 + 33x + x2 = 0 Solving 360 + 33x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-360' to each side of the equation. 360 + 33x + -360 + x2 = 0 + -360 Reorder the terms: 360 + -360 + 33x + x2 = 0 + -360 Combine like terms: 360 + -360 = 0 0 + 33x + x2 = 0 + -360 33x + x2 = 0 + -360 Combine like terms: 0 + -360 = -360 33x + x2 = -360 The x term is 33x. Take half its coefficient (16.5). Square it (272.25) and add it to both sides. Add '272.25' to each side of the equation. 33x + 272.25 + x2 = -360 + 272.25 Reorder the terms: 272.25 + 33x + x2 = -360 + 272.25 Combine like terms: -360 + 272.25 = -87.75 272.25 + 33x + x2 = -87.75 Factor a perfect square on the left side: (x + 16.5)(x + 16.5) = -87.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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