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Simplifying 14x2 = 20x + -25 Reorder the terms: 14x2 = -25 + 20x Solving 14x2 = -25 + 20x Solving for variable 'x'. Reorder the terms: 25 + -20x + 14x2 = -25 + 20x + 25 + -20x Reorder the terms: 25 + -20x + 14x2 = -25 + 25 + 20x + -20x Combine like terms: -25 + 25 = 0 25 + -20x + 14x2 = 0 + 20x + -20x 25 + -20x + 14x2 = 20x + -20x Combine like terms: 20x + -20x = 0 25 + -20x + 14x2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 1.785714286 + -1.428571429x + x2 = 0 Move the constant term to the right: Add '-1.785714286' to each side of the equation. 1.785714286 + -1.428571429x + -1.785714286 + x2 = 0 + -1.785714286 Reorder the terms: 1.785714286 + -1.785714286 + -1.428571429x + x2 = 0 + -1.785714286 Combine like terms: 1.785714286 + -1.785714286 = 0.000000000 0.000000000 + -1.428571429x + x2 = 0 + -1.785714286 -1.428571429x + x2 = 0 + -1.785714286 Combine like terms: 0 + -1.785714286 = -1.785714286 -1.428571429x + x2 = -1.785714286 The x term is -1.428571429x. Take half its coefficient (-0.7142857145). Square it (0.5102040819) and add it to both sides. Add '0.5102040819' to each side of the equation. -1.428571429x + 0.5102040819 + x2 = -1.785714286 + 0.5102040819 Reorder the terms: 0.5102040819 + -1.428571429x + x2 = -1.785714286 + 0.5102040819 Combine like terms: -1.785714286 + 0.5102040819 = -1.2755102041 0.5102040819 + -1.428571429x + x2 = -1.2755102041 Factor a perfect square on the left side: (x + -0.7142857145)(x + -0.7142857145) = -1.2755102041 Can't calculate square root of the right side. The solution to this equation could not be determined.
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