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Simplifying X2 = 5X + -24 Reorder the terms: X2 = -24 + 5X Solving X2 = -24 + 5X Solving for variable 'X'. Reorder the terms: 24 + -5X + X2 = -24 + 5X + 24 + -5X Reorder the terms: 24 + -5X + X2 = -24 + 24 + 5X + -5X Combine like terms: -24 + 24 = 0 24 + -5X + X2 = 0 + 5X + -5X 24 + -5X + X2 = 5X + -5X Combine like terms: 5X + -5X = 0 24 + -5X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -5X + -24 + X2 = 0 + -24 Reorder the terms: 24 + -24 + -5X + X2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -5X + X2 = 0 + -24 -5X + X2 = 0 + -24 Combine like terms: 0 + -24 = -24 -5X + X2 = -24 The X term is -5X. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5X + 6.25 + X2 = -24 + 6.25 Reorder the terms: 6.25 + -5X + X2 = -24 + 6.25 Combine like terms: -24 + 6.25 = -17.75 6.25 + -5X + X2 = -17.75 Factor a perfect square on the left side: (X + -2.5)(X + -2.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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