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Simplifying x2 + x = -0.89 Reorder the terms: x + x2 = -0.89 Solving x + x2 = -0.89 Solving for variable 'x'. Reorder the terms: 0.89 + x + x2 = -0.89 + 0.89 Combine like terms: -0.89 + 0.89 = 0.00 0.89 + x + x2 = 0.00 Begin completing the square. Move the constant term to the right: Add '-0.89' to each side of the equation. 0.89 + x + -0.89 + x2 = 0.00 + -0.89 Reorder the terms: 0.89 + -0.89 + x + x2 = 0.00 + -0.89 Combine like terms: 0.89 + -0.89 = 0.00 0.00 + x + x2 = 0.00 + -0.89 x + x2 = 0.00 + -0.89 Combine like terms: 0.00 + -0.89 = -0.89 x + x2 = -0.89 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 = -0.89 + 0.25 Reorder the terms: 0.25 + x + x2 = -0.89 + 0.25 Combine like terms: -0.89 + 0.25 = -0.64 0.25 + x + x2 = -0.64 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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