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Simplifying 14x2 + -1x + 78 = 0 Reorder the terms: 78 + -1x + 14x2 = 0 Solving 78 + -1x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 5.571428571 + -0.07142857143x + x2 = 0 Move the constant term to the right: Add '-5.571428571' to each side of the equation. 5.571428571 + -0.07142857143x + -5.571428571 + x2 = 0 + -5.571428571 Reorder the terms: 5.571428571 + -5.571428571 + -0.07142857143x + x2 = 0 + -5.571428571 Combine like terms: 5.571428571 + -5.571428571 = 0.000000000 0.000000000 + -0.07142857143x + x2 = 0 + -5.571428571 -0.07142857143x + x2 = 0 + -5.571428571 Combine like terms: 0 + -5.571428571 = -5.571428571 -0.07142857143x + x2 = -5.571428571 The x term is -0.07142857143x. Take half its coefficient (-0.03571428572). Square it (0.001275510204) and add it to both sides. Add '0.001275510204' to each side of the equation. -0.07142857143x + 0.001275510204 + x2 = -5.571428571 + 0.001275510204 Reorder the terms: 0.001275510204 + -0.07142857143x + x2 = -5.571428571 + 0.001275510204 Combine like terms: -5.571428571 + 0.001275510204 = -5.570153060796 0.001275510204 + -0.07142857143x + x2 = -5.570153060796 Factor a perfect square on the left side: (x + -0.03571428572)(x + -0.03571428572) = -5.570153060796 Can't calculate square root of the right side. The solution to this equation could not be determined.
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