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Simplifying 11x2 + -14x + 20 = 0 Reorder the terms: 20 + -14x + 11x2 = 0 Solving 20 + -14x + 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'. 1.818181818 + -1.272727273x + x2 = 0 Move the constant term to the right: Add '-1.818181818' to each side of the equation. 1.818181818 + -1.272727273x + -1.818181818 + x2 = 0 + -1.818181818 Reorder the terms: 1.818181818 + -1.818181818 + -1.272727273x + x2 = 0 + -1.818181818 Combine like terms: 1.818181818 + -1.818181818 = 0.000000000 0.000000000 + -1.272727273x + x2 = 0 + -1.818181818 -1.272727273x + x2 = 0 + -1.818181818 Combine like terms: 0 + -1.818181818 = -1.818181818 -1.272727273x + x2 = -1.818181818 The x term is -1.272727273x. Take half its coefficient (-0.6363636365). Square it (0.4049586779) and add it to both sides. Add '0.4049586779' to each side of the equation. -1.272727273x + 0.4049586779 + x2 = -1.818181818 + 0.4049586779 Reorder the terms: 0.4049586779 + -1.272727273x + x2 = -1.818181818 + 0.4049586779 Combine like terms: -1.818181818 + 0.4049586779 = -1.4132231401 0.4049586779 + -1.272727273x + x2 = -1.4132231401 Factor a perfect square on the left side: (x + -0.6363636365)(x + -0.6363636365) = -1.4132231401 Can't calculate square root of the right side. The solution to this equation could not be determined.
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