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Simplifying 14x2 + 3x + 19 = 0 Reorder the terms: 19 + 3x + 14x2 = 0 Solving 19 + 3x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 1.357142857 + 0.2142857143x + x2 = 0 Move the constant term to the right: Add '-1.357142857' to each side of the equation. 1.357142857 + 0.2142857143x + -1.357142857 + x2 = 0 + -1.357142857 Reorder the terms: 1.357142857 + -1.357142857 + 0.2142857143x + x2 = 0 + -1.357142857 Combine like terms: 1.357142857 + -1.357142857 = 0.000000000 0.000000000 + 0.2142857143x + x2 = 0 + -1.357142857 0.2142857143x + x2 = 0 + -1.357142857 Combine like terms: 0 + -1.357142857 = -1.357142857 0.2142857143x + x2 = -1.357142857 The x term is 0.2142857143x. Take half its coefficient (0.1071428572). Square it (0.01147959185) and add it to both sides. Add '0.01147959185' to each side of the equation. 0.2142857143x + 0.01147959185 + x2 = -1.357142857 + 0.01147959185 Reorder the terms: 0.01147959185 + 0.2142857143x + x2 = -1.357142857 + 0.01147959185 Combine like terms: -1.357142857 + 0.01147959185 = -1.34566326515 0.01147959185 + 0.2142857143x + x2 = -1.34566326515 Factor a perfect square on the left side: (x + 0.1071428572)(x + 0.1071428572) = -1.34566326515 Can't calculate square root of the right side. The solution to this equation could not be determined.
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