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Simplifying 11x2 + 32x + 75 = 0 Reorder the terms: 75 + 32x + 11x2 = 0 Solving 75 + 32x + 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'. 6.818181818 + 2.909090909x + x2 = 0 Move the constant term to the right: Add '-6.818181818' to each side of the equation. 6.818181818 + 2.909090909x + -6.818181818 + x2 = 0 + -6.818181818 Reorder the terms: 6.818181818 + -6.818181818 + 2.909090909x + x2 = 0 + -6.818181818 Combine like terms: 6.818181818 + -6.818181818 = 0.000000000 0.000000000 + 2.909090909x + x2 = 0 + -6.818181818 2.909090909x + x2 = 0 + -6.818181818 Combine like terms: 0 + -6.818181818 = -6.818181818 2.909090909x + x2 = -6.818181818 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 = -6.818181818 + 2.115702481 Reorder the terms: 2.115702481 + 2.909090909x + x2 = -6.818181818 + 2.115702481 Combine like terms: -6.818181818 + 2.115702481 = -4.702479337 2.115702481 + 2.909090909x + x2 = -4.702479337 Factor a perfect square on the left side: (x + 1.454545455)(x + 1.454545455) = -4.702479337 Can't calculate square root of the right side. The solution to this equation could not be determined.
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