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Simplifying 11x2 + -5x + 81 = 0 Reorder the terms: 81 + -5x + 11x2 = 0 Solving 81 + -5x + 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'. 7.363636364 + -0.4545454545x + x2 = 0 Move the constant term to the right: Add '-7.363636364' to each side of the equation. 7.363636364 + -0.4545454545x + -7.363636364 + x2 = 0 + -7.363636364 Reorder the terms: 7.363636364 + -7.363636364 + -0.4545454545x + x2 = 0 + -7.363636364 Combine like terms: 7.363636364 + -7.363636364 = 0.000000000 0.000000000 + -0.4545454545x + x2 = 0 + -7.363636364 -0.4545454545x + x2 = 0 + -7.363636364 Combine like terms: 0 + -7.363636364 = -7.363636364 -0.4545454545x + x2 = -7.363636364 The x term is -0.4545454545x. Take half its coefficient (-0.2272727273). Square it (0.05165289257) and add it to both sides. Add '0.05165289257' to each side of the equation. -0.4545454545x + 0.05165289257 + x2 = -7.363636364 + 0.05165289257 Reorder the terms: 0.05165289257 + -0.4545454545x + x2 = -7.363636364 + 0.05165289257 Combine like terms: -7.363636364 + 0.05165289257 = -7.31198347143 0.05165289257 + -0.4545454545x + x2 = -7.31198347143 Factor a perfect square on the left side: (x + -0.2272727273)(x + -0.2272727273) = -7.31198347143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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