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Simplifying X2 = 3(X + -1) Reorder the terms: X2 = 3(-1 + X) X2 = (-1 * 3 + X * 3) X2 = (-3 + 3X) Solving X2 = -3 + 3X Solving for variable 'X'. Reorder the terms: 3 + -3X + X2 = -3 + 3X + 3 + -3X Reorder the terms: 3 + -3X + X2 = -3 + 3 + 3X + -3X Combine like terms: -3 + 3 = 0 3 + -3X + X2 = 0 + 3X + -3X 3 + -3X + X2 = 3X + -3X Combine like terms: 3X + -3X = 0 3 + -3X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + -3X + -3 + X2 = 0 + -3 Reorder the terms: 3 + -3 + -3X + X2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3X + X2 = 0 + -3 -3X + X2 = 0 + -3 Combine like terms: 0 + -3 = -3 -3X + X2 = -3 The X term is -3X. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3X + 2.25 + X2 = -3 + 2.25 Reorder the terms: 2.25 + -3X + X2 = -3 + 2.25 Combine like terms: -3 + 2.25 = -0.75 2.25 + -3X + X2 = -0.75 Factor a perfect square on the left side: (X + -1.5)(X + -1.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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