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Simplifying X2 = -1X + -10 Reorder the terms: X2 = -10 + -1X Solving X2 = -10 + -1X Solving for variable 'X'. Reorder the terms: 10 + X + X2 = -10 + -1X + 10 + X Reorder the terms: 10 + X + X2 = -10 + 10 + -1X + X Combine like terms: -10 + 10 = 0 10 + X + X2 = 0 + -1X + X 10 + X + X2 = -1X + X Combine like terms: -1X + X = 0 10 + X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + X + -10 + X2 = 0 + -10 Reorder the terms: 10 + -10 + X + X2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + X + X2 = 0 + -10 X + X2 = 0 + -10 Combine like terms: 0 + -10 = -10 X + X2 = -10 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 = -10 + 0.25 Reorder the terms: 0.25 + X + X2 = -10 + 0.25 Combine like terms: -10 + 0.25 = -9.75 0.25 + X + X2 = -9.75 Factor a perfect square on the left side: (X + 0.5)(X + 0.5) = -9.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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