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Simplifying 27x2 + -38x + 14 = 0 Reorder the terms: 14 + -38x + 27x2 = 0 Solving 14 + -38x + 27x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 0.5185185185 + -1.407407407x + x2 = 0 Move the constant term to the right: Add '-0.5185185185' to each side of the equation. 0.5185185185 + -1.407407407x + -0.5185185185 + x2 = 0 + -0.5185185185 Reorder the terms: 0.5185185185 + -0.5185185185 + -1.407407407x + x2 = 0 + -0.5185185185 Combine like terms: 0.5185185185 + -0.5185185185 = 0.0000000000 0.0000000000 + -1.407407407x + x2 = 0 + -0.5185185185 -1.407407407x + x2 = 0 + -0.5185185185 Combine like terms: 0 + -0.5185185185 = -0.5185185185 -1.407407407x + x2 = -0.5185185185 The x term is -1.407407407x. Take half its coefficient (-0.7037037035). Square it (0.4951989023) and add it to both sides. Add '0.4951989023' to each side of the equation. -1.407407407x + 0.4951989023 + x2 = -0.5185185185 + 0.4951989023 Reorder the terms: 0.4951989023 + -1.407407407x + x2 = -0.5185185185 + 0.4951989023 Combine like terms: -0.5185185185 + 0.4951989023 = -0.0233196162 0.4951989023 + -1.407407407x + x2 = -0.0233196162 Factor a perfect square on the left side: (x + -0.7037037035)(x + -0.7037037035) = -0.0233196162 Can't calculate square root of the right side. The solution to this equation could not be determined.
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