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Simplifying 14x2 = 2x + -11 Reorder the terms: 14x2 = -11 + 2x Solving 14x2 = -11 + 2x Solving for variable 'x'. Reorder the terms: 11 + -2x + 14x2 = -11 + 2x + 11 + -2x Reorder the terms: 11 + -2x + 14x2 = -11 + 11 + 2x + -2x Combine like terms: -11 + 11 = 0 11 + -2x + 14x2 = 0 + 2x + -2x 11 + -2x + 14x2 = 2x + -2x Combine like terms: 2x + -2x = 0 11 + -2x + 14x2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.7857142857 + -0.1428571429x + x2 = 0 Move the constant term to the right: Add '-0.7857142857' to each side of the equation. 0.7857142857 + -0.1428571429x + -0.7857142857 + x2 = 0 + -0.7857142857 Reorder the terms: 0.7857142857 + -0.7857142857 + -0.1428571429x + x2 = 0 + -0.7857142857 Combine like terms: 0.7857142857 + -0.7857142857 = 0.0000000000 0.0000000000 + -0.1428571429x + x2 = 0 + -0.7857142857 -0.1428571429x + x2 = 0 + -0.7857142857 Combine like terms: 0 + -0.7857142857 = -0.7857142857 -0.1428571429x + x2 = -0.7857142857 The x term is -0.1428571429x. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429x + 0.005102040819 + x2 = -0.7857142857 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429x + x2 = -0.7857142857 + 0.005102040819 Combine like terms: -0.7857142857 + 0.005102040819 = -0.780612244881 0.005102040819 + -0.1428571429x + x2 = -0.780612244881 Factor a perfect square on the left side: (x + -0.07142857145)(x + -0.07142857145) = -0.780612244881 Can't calculate square root of the right side. The solution to this equation could not be determined.
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