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Simplifying x2 + 11x + 55 = -7 Reorder the terms: 55 + 11x + x2 = -7 Solving 55 + 11x + x2 = -7 Solving for variable 'x'. Reorder the terms: 55 + 7 + 11x + x2 = -7 + 7 Combine like terms: 55 + 7 = 62 62 + 11x + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 62 + 11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-62' to each side of the equation. 62 + 11x + -62 + x2 = 0 + -62 Reorder the terms: 62 + -62 + 11x + x2 = 0 + -62 Combine like terms: 62 + -62 = 0 0 + 11x + x2 = 0 + -62 11x + x2 = 0 + -62 Combine like terms: 0 + -62 = -62 11x + x2 = -62 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = -62 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -62 + 30.25 Combine like terms: -62 + 30.25 = -31.75 30.25 + 11x + x2 = -31.75 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -31.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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