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Simplifying 65x2 + 1 = 14x Reorder the terms: 1 + 65x2 = 14x Solving 1 + 65x2 = 14x Solving for variable 'x'. Reorder the terms: 1 + -14x + 65x2 = 14x + -14x Combine like terms: 14x + -14x = 0 1 + -14x + 65x2 = 0 Begin completing the square. Divide all terms by 65 the coefficient of the squared term: Divide each side by '65'. 0.01538461538 + -0.2153846154x + x2 = 0 Move the constant term to the right: Add '-0.01538461538' to each side of the equation. 0.01538461538 + -0.2153846154x + -0.01538461538 + x2 = 0 + -0.01538461538 Reorder the terms: 0.01538461538 + -0.01538461538 + -0.2153846154x + x2 = 0 + -0.01538461538 Combine like terms: 0.01538461538 + -0.01538461538 = 0.00000000000 0.00000000000 + -0.2153846154x + x2 = 0 + -0.01538461538 -0.2153846154x + x2 = 0 + -0.01538461538 Combine like terms: 0 + -0.01538461538 = -0.01538461538 -0.2153846154x + x2 = -0.01538461538 The x term is -0.2153846154x. Take half its coefficient (-0.1076923077). Square it (0.01159763314) and add it to both sides. Add '0.01159763314' to each side of the equation. -0.2153846154x + 0.01159763314 + x2 = -0.01538461538 + 0.01159763314 Reorder the terms: 0.01159763314 + -0.2153846154x + x2 = -0.01538461538 + 0.01159763314 Combine like terms: -0.01538461538 + 0.01159763314 = -0.00378698224 0.01159763314 + -0.2153846154x + x2 = -0.00378698224 Factor a perfect square on the left side: (x + -0.1076923077)(x + -0.1076923077) = -0.00378698224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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