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Simplifying 0 = -1x4 + -8 + -1x2 + -9 Reorder the terms: 0 = -8 + -9 + -1x2 + -1x4 Combine like terms: -8 + -9 = -17 0 = -17 + -1x2 + -1x4 Solving 0 = -17 + -1x2 + -1x4 Solving for variable 'x'. Combine like terms: 0 + 17 = 17 17 + x2 + x4 = -17 + -1x2 + -1x4 + 17 + x2 + x4 Reorder the terms: 17 + x2 + x4 = -17 + 17 + -1x2 + x2 + -1x4 + x4 Combine like terms: -17 + 17 = 0 17 + x2 + x4 = 0 + -1x2 + x2 + -1x4 + x4 17 + x2 + x4 = -1x2 + x2 + -1x4 + x4 Combine like terms: -1x2 + x2 = 0 17 + x2 + x4 = 0 + -1x4 + x4 17 + x2 + x4 = -1x4 + x4 Combine like terms: -1x4 + x4 = 0 17 + x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + x2 + -17 + x4 = 0 + -17 Reorder the terms: 17 + -17 + x2 + x4 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x2 + x4 = 0 + -17 x2 + x4 = 0 + -17 Combine like terms: 0 + -17 = -17 x2 + x4 = -17 The x term is x2. 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. x2 + 0.25 + x4 = -17 + 0.25 Reorder the terms: 0.25 + x2 + x4 = -17 + 0.25 Combine like terms: -17 + 0.25 = -16.75 0.25 + x2 + x4 = -16.75 Factor a perfect square on the left side: (x2 + 0.5)(x2 + 0.5) = -16.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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