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Simplifying X2 + -4X = -8 Reorder the terms: -4X + X2 = -8 Solving -4X + X2 = -8 Solving for variable 'X'. Reorder the terms: 8 + -4X + X2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -4X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -4X + -8 + X2 = 0 + -8 Reorder the terms: 8 + -8 + -4X + X2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4X + X2 = 0 + -8 -4X + X2 = 0 + -8 Combine like terms: 0 + -8 = -8 -4X + X2 = -8 The X term is -4X. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4X + 4 + X2 = -8 + 4 Reorder the terms: 4 + -4X + X2 = -8 + 4 Combine like terms: -8 + 4 = -4 4 + -4X + X2 = -4 Factor a perfect square on the left side: (X + -2)(X + -2) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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