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Simplifying x2 + 5x + 6 = -1 Reorder the terms: 6 + 5x + x2 = -1 Solving 6 + 5x + x2 = -1 Solving for variable 'x'. Reorder the terms: 6 + 1 + 5x + x2 = -1 + 1 Combine like terms: 6 + 1 = 7 7 + 5x + x2 = -1 + 1 Combine like terms: -1 + 1 = 0 7 + 5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 5x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 5x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x + x2 = 0 + -7 5x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 5x + x2 = -7 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -7 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -7 + 6.25 Combine like terms: -7 + 6.25 = -0.75 6.25 + 5x + x2 = -0.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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