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Simplifying x2 + 3x + 12 = -8 Reorder the terms: 12 + 3x + x2 = -8 Solving 12 + 3x + x2 = -8 Solving for variable 'x'. Reorder the terms: 12 + 8 + 3x + x2 = -8 + 8 Combine like terms: 12 + 8 = 20 20 + 3x + x2 = -8 + 8 Combine like terms: -8 + 8 = 0 20 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 3x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + 3x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 3x + x2 = 0 + -20 3x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 3x + x2 = -20 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 = -20 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -20 + 2.25 Combine like terms: -20 + 2.25 = -17.75 2.25 + 3x + x2 = -17.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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