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Simplifying 14x2 + -19x + 4 = -11 + -5 Reorder the terms: 4 + -19x + 14x2 = -11 + -5 Combine like terms: -11 + -5 = -16 4 + -19x + 14x2 = -16 Solving 4 + -19x + 14x2 = -16 Solving for variable 'x'. Reorder the terms: 4 + 16 + -19x + 14x2 = -16 + 16 Combine like terms: 4 + 16 = 20 20 + -19x + 14x2 = -16 + 16 Combine like terms: -16 + 16 = 0 20 + -19x + 14x2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 1.428571429 + -1.357142857x + x2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + -1.357142857x + -1.428571429 + x2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + -1.357142857x + x2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + -1.357142857x + x2 = 0 + -1.428571429 -1.357142857x + x2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 -1.357142857x + x2 = -1.428571429 The x term is -1.357142857x. Take half its coefficient (-0.6785714285). Square it (0.4604591836) and add it to both sides. Add '0.4604591836' to each side of the equation. -1.357142857x + 0.4604591836 + x2 = -1.428571429 + 0.4604591836 Reorder the terms: 0.4604591836 + -1.357142857x + x2 = -1.428571429 + 0.4604591836 Combine like terms: -1.428571429 + 0.4604591836 = -0.9681122454 0.4604591836 + -1.357142857x + x2 = -0.9681122454 Factor a perfect square on the left side: (x + -0.6785714285)(x + -0.6785714285) = -0.9681122454 Can't calculate square root of the right side. The solution to this equation could not be determined.
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