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Simplifying 14x2 + 1x + 3 = 0 Reorder the terms: 3 + 1x + 14x2 = 0 Solving 3 + 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'. 0.2142857143 + 0.07142857143x + x2 = 0 Move the constant term to the right: Add '-0.2142857143' to each side of the equation. 0.2142857143 + 0.07142857143x + -0.2142857143 + x2 = 0 + -0.2142857143 Reorder the terms: 0.2142857143 + -0.2142857143 + 0.07142857143x + x2 = 0 + -0.2142857143 Combine like terms: 0.2142857143 + -0.2142857143 = 0.0000000000 0.0000000000 + 0.07142857143x + x2 = 0 + -0.2142857143 0.07142857143x + x2 = 0 + -0.2142857143 Combine like terms: 0 + -0.2142857143 = -0.2142857143 0.07142857143x + x2 = -0.2142857143 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 = -0.2142857143 + 0.001275510204 Reorder the terms: 0.001275510204 + 0.07142857143x + x2 = -0.2142857143 + 0.001275510204 Combine like terms: -0.2142857143 + 0.001275510204 = -0.213010204096 0.001275510204 + 0.07142857143x + x2 = -0.213010204096 Factor a perfect square on the left side: (x + 0.03571428572)(x + 0.03571428572) = -0.213010204096 Can't calculate square root of the right side. The solution to this equation could not be determined.
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