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Simplifying 14b2 + -19b + 4 = -11b + 11b + -5 Reorder the terms: 4 + -19b + 14b2 = -11b + 11b + -5 Reorder the terms: 4 + -19b + 14b2 = -5 + -11b + 11b Combine like terms: -11b + 11b = 0 4 + -19b + 14b2 = -5 + 0 4 + -19b + 14b2 = -5 Solving 4 + -19b + 14b2 = -5 Solving for variable 'b'. Reorder the terms: 4 + 5 + -19b + 14b2 = -5 + 5 Combine like terms: 4 + 5 = 9 9 + -19b + 14b2 = -5 + 5 Combine like terms: -5 + 5 = 0 9 + -19b + 14b2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.6428571429 + -1.357142857b + b2 = 0 Move the constant term to the right: Add '-0.6428571429' to each side of the equation. 0.6428571429 + -1.357142857b + -0.6428571429 + b2 = 0 + -0.6428571429 Reorder the terms: 0.6428571429 + -0.6428571429 + -1.357142857b + b2 = 0 + -0.6428571429 Combine like terms: 0.6428571429 + -0.6428571429 = 0.0000000000 0.0000000000 + -1.357142857b + b2 = 0 + -0.6428571429 -1.357142857b + b2 = 0 + -0.6428571429 Combine like terms: 0 + -0.6428571429 = -0.6428571429 -1.357142857b + b2 = -0.6428571429 The b term is -1.357142857b. 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. -1.357142857b + 0.4604591836 + b2 = -0.6428571429 + 0.4604591836 Reorder the terms: 0.4604591836 + -1.357142857b + b2 = -0.6428571429 + 0.4604591836 Combine like terms: -0.6428571429 + 0.4604591836 = -0.1823979593 0.4604591836 + -1.357142857b + b2 = -0.1823979593 Factor a perfect square on the left side: (b + -0.6785714285)(b + -0.6785714285) = -0.1823979593 Can't calculate square root of the right side. The solution to this equation could not be determined.
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