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Simplifying x2 + 11x + 60 = -24 Reorder the terms: 60 + 11x + x2 = -24 Solving 60 + 11x + x2 = -24 Solving for variable 'x'. Reorder the terms: 60 + 24 + 11x + x2 = -24 + 24 Combine like terms: 60 + 24 = 84 84 + 11x + x2 = -24 + 24 Combine like terms: -24 + 24 = 0 84 + 11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-84' to each side of the equation. 84 + 11x + -84 + x2 = 0 + -84 Reorder the terms: 84 + -84 + 11x + x2 = 0 + -84 Combine like terms: 84 + -84 = 0 0 + 11x + x2 = 0 + -84 11x + x2 = 0 + -84 Combine like terms: 0 + -84 = -84 11x + x2 = -84 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 = -84 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -84 + 30.25 Combine like terms: -84 + 30.25 = -53.75 30.25 + 11x + x2 = -53.75 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -53.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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