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Simplifying 11x2 + -33x + 26 = 0 Reorder the terms: 26 + -33x + 11x2 = 0 Solving 26 + -33x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 2.363636364 + -3x + x2 = 0 Move the constant term to the right: Add '-2.363636364' to each side of the equation. 2.363636364 + -3x + -2.363636364 + x2 = 0 + -2.363636364 Reorder the terms: 2.363636364 + -2.363636364 + -3x + x2 = 0 + -2.363636364 Combine like terms: 2.363636364 + -2.363636364 = 0.000000000 0.000000000 + -3x + x2 = 0 + -2.363636364 -3x + x2 = 0 + -2.363636364 Combine like terms: 0 + -2.363636364 = -2.363636364 -3x + x2 = -2.363636364 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -2.363636364 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -2.363636364 + 2.25 Combine like terms: -2.363636364 + 2.25 = -0.113636364 2.25 + -3x + x2 = -0.113636364 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -0.113636364 Can't calculate square root of the right side. The solution to this equation could not be determined.
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