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Simplifying X2 + 3X + 360 = 0 Reorder the terms: 360 + 3X + X2 = 0 Solving 360 + 3X + 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 + 3X + -360 + X2 = 0 + -360 Reorder the terms: 360 + -360 + 3X + X2 = 0 + -360 Combine like terms: 360 + -360 = 0 0 + 3X + X2 = 0 + -360 3X + X2 = 0 + -360 Combine like terms: 0 + -360 = -360 3X + X2 = -360 The X term is 3X. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3X + 2.25 + X2 = -360 + 2.25 Reorder the terms: 2.25 + 3X + X2 = -360 + 2.25 Combine like terms: -360 + 2.25 = -357.75 2.25 + 3X + X2 = -357.75 Factor a perfect square on the left side: (X + 1.5)(X + 1.5) = -357.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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