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Simplifying 0 = x2 + -11x + 66 Reorder the terms: 0 = 66 + -11x + x2 Solving 0 = 66 + -11x + x2 Solving for variable 'x'. Combine like terms: 0 + -66 = -66 -66 + 11x + -1x2 = 66 + -11x + x2 + -66 + 11x + -1x2 Reorder the terms: -66 + 11x + -1x2 = 66 + -66 + -11x + 11x + x2 + -1x2 Combine like terms: 66 + -66 = 0 -66 + 11x + -1x2 = 0 + -11x + 11x + x2 + -1x2 -66 + 11x + -1x2 = -11x + 11x + x2 + -1x2 Combine like terms: -11x + 11x = 0 -66 + 11x + -1x2 = 0 + x2 + -1x2 -66 + 11x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -66 + 11x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 66 + -11x + x2 = 0 Move the constant term to the right: Add '-66' to each side of the equation. 66 + -11x + -66 + x2 = 0 + -66 Reorder the terms: 66 + -66 + -11x + x2 = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -11x + x2 = 0 + -66 -11x + x2 = 0 + -66 Combine like terms: 0 + -66 = -66 -11x + x2 = -66 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 = -66 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -66 + 30.25 Combine like terms: -66 + 30.25 = -35.75 30.25 + -11x + x2 = -35.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -35.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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