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Simplifying 11x2 + -26x + 21 = 0 Reorder the terms: 21 + -26x + 11x2 = 0 Solving 21 + -26x + 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'. 1.909090909 + -2.363636364x + x2 = 0 Move the constant term to the right: Add '-1.909090909' to each side of the equation. 1.909090909 + -2.363636364x + -1.909090909 + x2 = 0 + -1.909090909 Reorder the terms: 1.909090909 + -1.909090909 + -2.363636364x + x2 = 0 + -1.909090909 Combine like terms: 1.909090909 + -1.909090909 = 0.000000000 0.000000000 + -2.363636364x + x2 = 0 + -1.909090909 -2.363636364x + x2 = 0 + -1.909090909 Combine like terms: 0 + -1.909090909 = -1.909090909 -2.363636364x + x2 = -1.909090909 The x term is -2.363636364x. Take half its coefficient (-1.181818182). Square it (1.396694215) and add it to both sides. Add '1.396694215' to each side of the equation. -2.363636364x + 1.396694215 + x2 = -1.909090909 + 1.396694215 Reorder the terms: 1.396694215 + -2.363636364x + x2 = -1.909090909 + 1.396694215 Combine like terms: -1.909090909 + 1.396694215 = -0.512396694 1.396694215 + -2.363636364x + x2 = -0.512396694 Factor a perfect square on the left side: (x + -1.181818182)(x + -1.181818182) = -0.512396694 Can't calculate square root of the right side. The solution to this equation could not be determined.
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