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Simplifying 169 = 55X + -5X2 Solving 169 = 55X + -5X2 Solving for variable 'X'. Reorder the terms: 169 + -55X + 5X2 = 55X + -55X + -5X2 + 5X2 Combine like terms: 55X + -55X = 0 169 + -55X + 5X2 = 0 + -5X2 + 5X2 169 + -55X + 5X2 = -5X2 + 5X2 Combine like terms: -5X2 + 5X2 = 0 169 + -55X + 5X2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 33.8 + -11X + X2 = 0 Move the constant term to the right: Add '-33.8' to each side of the equation. 33.8 + -11X + -33.8 + X2 = 0 + -33.8 Reorder the terms: 33.8 + -33.8 + -11X + X2 = 0 + -33.8 Combine like terms: 33.8 + -33.8 = 0.0 0.0 + -11X + X2 = 0 + -33.8 -11X + X2 = 0 + -33.8 Combine like terms: 0 + -33.8 = -33.8 -11X + X2 = -33.8 The X term is -11X. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11X + 30.25 + X2 = -33.8 + 30.25 Reorder the terms: 30.25 + -11X + X2 = -33.8 + 30.25 Combine like terms: -33.8 + 30.25 = -3.55 30.25 + -11X + X2 = -3.55 Factor a perfect square on the left side: (X + -5.5)(X + -5.5) = -3.55 Can't calculate square root of the right side. The solution to this equation could not be determined.
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