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Simplifying 14x2 + -17x + 16 = 2x + 4 Reorder the terms: 16 + -17x + 14x2 = 2x + 4 Reorder the terms: 16 + -17x + 14x2 = 4 + 2x Solving 16 + -17x + 14x2 = 4 + 2x Solving for variable 'x'. Reorder the terms: 16 + -4 + -17x + -2x + 14x2 = 4 + 2x + -4 + -2x Combine like terms: 16 + -4 = 12 12 + -17x + -2x + 14x2 = 4 + 2x + -4 + -2x Combine like terms: -17x + -2x = -19x 12 + -19x + 14x2 = 4 + 2x + -4 + -2x Reorder the terms: 12 + -19x + 14x2 = 4 + -4 + 2x + -2x Combine like terms: 4 + -4 = 0 12 + -19x + 14x2 = 0 + 2x + -2x 12 + -19x + 14x2 = 2x + -2x Combine like terms: 2x + -2x = 0 12 + -19x + 14x2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.8571428571 + -1.357142857x + x2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + -1.357142857x + -0.8571428571 + x2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + -1.357142857x + x2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + -1.357142857x + x2 = 0 + -0.8571428571 -1.357142857x + x2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 -1.357142857x + x2 = -0.8571428571 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 = -0.8571428571 + 0.4604591836 Reorder the terms: 0.4604591836 + -1.357142857x + x2 = -0.8571428571 + 0.4604591836 Combine like terms: -0.8571428571 + 0.4604591836 = -0.3966836735 0.4604591836 + -1.357142857x + x2 = -0.3966836735 Factor a perfect square on the left side: (x + -0.6785714285)(x + -0.6785714285) = -0.3966836735 Can't calculate square root of the right side. The solution to this equation could not be determined.
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