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Simplifying 38x2 + -17x + 6 = 0 Reorder the terms: 6 + -17x + 38x2 = 0 Solving 6 + -17x + 38x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 38 the coefficient of the squared term: Divide each side by '38'. 0.1578947368 + -0.4473684211x + x2 = 0 Move the constant term to the right: Add '-0.1578947368' to each side of the equation. 0.1578947368 + -0.4473684211x + -0.1578947368 + x2 = 0 + -0.1578947368 Reorder the terms: 0.1578947368 + -0.1578947368 + -0.4473684211x + x2 = 0 + -0.1578947368 Combine like terms: 0.1578947368 + -0.1578947368 = 0.0000000000 0.0000000000 + -0.4473684211x + x2 = 0 + -0.1578947368 -0.4473684211x + x2 = 0 + -0.1578947368 Combine like terms: 0 + -0.1578947368 = -0.1578947368 -0.4473684211x + x2 = -0.1578947368 The x term is -0.4473684211x. Take half its coefficient (-0.2236842106). Square it (0.05003462607) and add it to both sides. Add '0.05003462607' to each side of the equation. -0.4473684211x + 0.05003462607 + x2 = -0.1578947368 + 0.05003462607 Reorder the terms: 0.05003462607 + -0.4473684211x + x2 = -0.1578947368 + 0.05003462607 Combine like terms: -0.1578947368 + 0.05003462607 = -0.10786011073 0.05003462607 + -0.4473684211x + x2 = -0.10786011073 Factor a perfect square on the left side: (x + -0.2236842106)(x + -0.2236842106) = -0.10786011073 Can't calculate square root of the right side. The solution to this equation could not be determined.
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