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Simplifying 65x2 + -16x + 114 = 0 Reorder the terms: 114 + -16x + 65x2 = 0 Solving 114 + -16x + 65x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 65 the coefficient of the squared term: Divide each side by '65'. 1.753846154 + -0.2461538462x + x2 = 0 Move the constant term to the right: Add '-1.753846154' to each side of the equation. 1.753846154 + -0.2461538462x + -1.753846154 + x2 = 0 + -1.753846154 Reorder the terms: 1.753846154 + -1.753846154 + -0.2461538462x + x2 = 0 + -1.753846154 Combine like terms: 1.753846154 + -1.753846154 = 0.000000000 0.000000000 + -0.2461538462x + x2 = 0 + -1.753846154 -0.2461538462x + x2 = 0 + -1.753846154 Combine like terms: 0 + -1.753846154 = -1.753846154 -0.2461538462x + x2 = -1.753846154 The x term is -0.2461538462x. Take half its coefficient (-0.1230769231). Square it (0.01514792900) and add it to both sides. Add '0.01514792900' to each side of the equation. -0.2461538462x + 0.01514792900 + x2 = -1.753846154 + 0.01514792900 Reorder the terms: 0.01514792900 + -0.2461538462x + x2 = -1.753846154 + 0.01514792900 Combine like terms: -1.753846154 + 0.01514792900 = -1.738698225 0.01514792900 + -0.2461538462x + x2 = -1.738698225 Factor a perfect square on the left side: (x + -0.1230769231)(x + -0.1230769231) = -1.738698225 Can't calculate square root of the right side. The solution to this equation could not be determined.
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