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Simplifying 65x2 + 13x + 4 = 0 Reorder the terms: 4 + 13x + 65x2 = 0 Solving 4 + 13x + 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'. 0.06153846154 + 0.2x + x2 = 0 Move the constant term to the right: Add '-0.06153846154' to each side of the equation. 0.06153846154 + 0.2x + -0.06153846154 + x2 = 0 + -0.06153846154 Reorder the terms: 0.06153846154 + -0.06153846154 + 0.2x + x2 = 0 + -0.06153846154 Combine like terms: 0.06153846154 + -0.06153846154 = 0.00000000000 0.00000000000 + 0.2x + x2 = 0 + -0.06153846154 0.2x + x2 = 0 + -0.06153846154 Combine like terms: 0 + -0.06153846154 = -0.06153846154 0.2x + x2 = -0.06153846154 The x term is 0.2x. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2x + 0.01 + x2 = -0.06153846154 + 0.01 Reorder the terms: 0.01 + 0.2x + x2 = -0.06153846154 + 0.01 Combine like terms: -0.06153846154 + 0.01 = -0.05153846154 0.01 + 0.2x + x2 = -0.05153846154 Factor a perfect square on the left side: (x + 0.1)(x + 0.1) = -0.05153846154 Can't calculate square root of the right side. The solution to this equation could not be determined.
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