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Simplifying 11x2 + 5x + 37 = 0 Reorder the terms: 37 + 5x + 11x2 = 0 Solving 37 + 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'. 3.363636364 + 0.4545454545x + x2 = 0 Move the constant term to the right: Add '-3.363636364' to each side of the equation. 3.363636364 + 0.4545454545x + -3.363636364 + x2 = 0 + -3.363636364 Reorder the terms: 3.363636364 + -3.363636364 + 0.4545454545x + x2 = 0 + -3.363636364 Combine like terms: 3.363636364 + -3.363636364 = 0.000000000 0.000000000 + 0.4545454545x + x2 = 0 + -3.363636364 0.4545454545x + x2 = 0 + -3.363636364 Combine like terms: 0 + -3.363636364 = -3.363636364 0.4545454545x + x2 = -3.363636364 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 = -3.363636364 + 0.05165289257 Reorder the terms: 0.05165289257 + 0.4545454545x + x2 = -3.363636364 + 0.05165289257 Combine like terms: -3.363636364 + 0.05165289257 = -3.31198347143 0.05165289257 + 0.4545454545x + x2 = -3.31198347143 Factor a perfect square on the left side: (x + 0.2272727273)(x + 0.2272727273) = -3.31198347143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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