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Simplifying x2 + 3x + 8 = -48 Reorder the terms: 8 + 3x + x2 = -48 Solving 8 + 3x + x2 = -48 Solving for variable 'x'. Reorder the terms: 8 + 48 + 3x + x2 = -48 + 48 Combine like terms: 8 + 48 = 56 56 + 3x + x2 = -48 + 48 Combine like terms: -48 + 48 = 0 56 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + 3x + -56 + x2 = 0 + -56 Reorder the terms: 56 + -56 + 3x + x2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 3x + x2 = 0 + -56 3x + x2 = 0 + -56 Combine like terms: 0 + -56 = -56 3x + x2 = -56 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 = -56 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -56 + 2.25 Combine like terms: -56 + 2.25 = -53.75 2.25 + 3x + x2 = -53.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -53.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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