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Simplifying X2 = 6X + -27 Reorder the terms: X2 = -27 + 6X Solving X2 = -27 + 6X Solving for variable 'X'. Reorder the terms: 27 + -6X + X2 = -27 + 6X + 27 + -6X Reorder the terms: 27 + -6X + X2 = -27 + 27 + 6X + -6X Combine like terms: -27 + 27 = 0 27 + -6X + X2 = 0 + 6X + -6X 27 + -6X + X2 = 6X + -6X Combine like terms: 6X + -6X = 0 27 + -6X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + -6X + -27 + X2 = 0 + -27 Reorder the terms: 27 + -27 + -6X + X2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -6X + X2 = 0 + -27 -6X + X2 = 0 + -27 Combine like terms: 0 + -27 = -27 -6X + X2 = -27 The X term is -6X. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6X + 9 + X2 = -27 + 9 Reorder the terms: 9 + -6X + X2 = -27 + 9 Combine like terms: -27 + 9 = -18 9 + -6X + X2 = -18 Factor a perfect square on the left side: (X + -3)(X + -3) = -18 Can't calculate square root of the right side. The solution to this equation could not be determined.
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