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Simplifying 1.1x2 + 3.2x + 5.9 = 0 Reorder the terms: 5.9 + 3.2x + 1.1x2 = 0 Solving 5.9 + 3.2x + 1.1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 1.1 the coefficient of the squared term: Divide each side by '1.1'. 5.363636364 + 2.909090909x + x2 = 0 Move the constant term to the right: Add '-5.363636364' to each side of the equation. 5.363636364 + 2.909090909x + -5.363636364 + x2 = 0 + -5.363636364 Reorder the terms: 5.363636364 + -5.363636364 + 2.909090909x + x2 = 0 + -5.363636364 Combine like terms: 5.363636364 + -5.363636364 = 0.000000000 0.000000000 + 2.909090909x + x2 = 0 + -5.363636364 2.909090909x + x2 = 0 + -5.363636364 Combine like terms: 0 + -5.363636364 = -5.363636364 2.909090909x + x2 = -5.363636364 The x term is 2.909090909x. Take half its coefficient (1.454545455). Square it (2.115702481) and add it to both sides. Add '2.115702481' to each side of the equation. 2.909090909x + 2.115702481 + x2 = -5.363636364 + 2.115702481 Reorder the terms: 2.115702481 + 2.909090909x + x2 = -5.363636364 + 2.115702481 Combine like terms: -5.363636364 + 2.115702481 = -3.247933883 2.115702481 + 2.909090909x + x2 = -3.247933883 Factor a perfect square on the left side: (x + 1.454545455)(x + 1.454545455) = -3.247933883 Can't calculate square root of the right side. The solution to this equation could not be determined.
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