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Simplifying x2 + x = -380 Reorder the terms: x + x2 = -380 Solving x + x2 = -380 Solving for variable 'x'. Reorder the terms: 380 + x + x2 = -380 + 380 Combine like terms: -380 + 380 = 0 380 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-380' to each side of the equation. 380 + x + -380 + x2 = 0 + -380 Reorder the terms: 380 + -380 + x + x2 = 0 + -380 Combine like terms: 380 + -380 = 0 0 + x + x2 = 0 + -380 x + x2 = 0 + -380 Combine like terms: 0 + -380 = -380 x + x2 = -380 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 = -380 + 0.25 Reorder the terms: 0.25 + x + x2 = -380 + 0.25 Combine like terms: -380 + 0.25 = -379.75 0.25 + x + x2 = -379.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -379.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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