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Simplifying 12x + 360 = -1x2 Reorder the terms: 360 + 12x = -1x2 Solving 360 + 12x = -1x2 Solving for variable 'x'. Combine like terms: -1x2 + x2 = 0 360 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-360' to each side of the equation. 360 + 12x + -360 + x2 = 0 + -360 Reorder the terms: 360 + -360 + 12x + x2 = 0 + -360 Combine like terms: 360 + -360 = 0 0 + 12x + x2 = 0 + -360 12x + x2 = 0 + -360 Combine like terms: 0 + -360 = -360 12x + x2 = -360 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -360 + 36 Reorder the terms: 36 + 12x + x2 = -360 + 36 Combine like terms: -360 + 36 = -324 36 + 12x + x2 = -324 Factor a perfect square on the left side: (x + 6)(x + 6) = -324 Can't calculate square root of the right side. The solution to this equation could not be determined.
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