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Simplifying 5x + -0.5x2 + -5.5 = 11 Reorder the terms: -5.5 + 5x + -0.5x2 = 11 Solving -5.5 + 5x + -0.5x2 = 11 Solving for variable 'x'. Reorder the terms: -5.5 + -11 + 5x + -0.5x2 = 11 + -11 Combine like terms: -5.5 + -11 = -16.5 -16.5 + 5x + -0.5x2 = 11 + -11 Combine like terms: 11 + -11 = 0 -16.5 + 5x + -0.5x2 = 0 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. 33 + -10x + x2 = 0 Move the constant term to the right: Add '-33' to each side of the equation. 33 + -10x + -33 + x2 = 0 + -33 Reorder the terms: 33 + -33 + -10x + x2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -10x + x2 = 0 + -33 -10x + x2 = 0 + -33 Combine like terms: 0 + -33 = -33 -10x + x2 = -33 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -33 + 25 Reorder the terms: 25 + -10x + x2 = -33 + 25 Combine like terms: -33 + 25 = -8 25 + -10x + x2 = -8 Factor a perfect square on the left side: (x + -5)(x + -5) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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