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Simplifying x2 + x = -7.5 Reorder the terms: x + x2 = -7.5 Solving x + x2 = -7.5 Solving for variable 'x'. Reorder the terms: 7.5 + x + x2 = -7.5 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 7.5 + x + x2 = 0.0 Begin completing the square. Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + x + -7.5 + x2 = 0.0 + -7.5 Reorder the terms: 7.5 + -7.5 + x + x2 = 0.0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x + x2 = 0.0 + -7.5 x + x2 = 0.0 + -7.5 Combine like terms: 0.0 + -7.5 = -7.5 x + x2 = -7.5 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -7.5 + 0.25 Reorder the terms: 0.25 + x + x2 = -7.5 + 0.25 Combine like terms: -7.5 + 0.25 = -7.25 0.25 + x + x2 = -7.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -7.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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