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Simplifying 35x2 + 18x + 22 = 0 Reorder the terms: 22 + 18x + 35x2 = 0 Solving 22 + 18x + 35x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 0.6285714286 + 0.5142857143x + x2 = 0 Move the constant term to the right: Add '-0.6285714286' to each side of the equation. 0.6285714286 + 0.5142857143x + -0.6285714286 + x2 = 0 + -0.6285714286 Reorder the terms: 0.6285714286 + -0.6285714286 + 0.5142857143x + x2 = 0 + -0.6285714286 Combine like terms: 0.6285714286 + -0.6285714286 = 0.0000000000 0.0000000000 + 0.5142857143x + x2 = 0 + -0.6285714286 0.5142857143x + x2 = 0 + -0.6285714286 Combine like terms: 0 + -0.6285714286 = -0.6285714286 0.5142857143x + x2 = -0.6285714286 The x term is 0.5142857143x. Take half its coefficient (0.2571428572). Square it (0.06612244901) and add it to both sides. Add '0.06612244901' to each side of the equation. 0.5142857143x + 0.06612244901 + x2 = -0.6285714286 + 0.06612244901 Reorder the terms: 0.06612244901 + 0.5142857143x + x2 = -0.6285714286 + 0.06612244901 Combine like terms: -0.6285714286 + 0.06612244901 = -0.56244897959 0.06612244901 + 0.5142857143x + x2 = -0.56244897959 Factor a perfect square on the left side: (x + 0.2571428572)(x + 0.2571428572) = -0.56244897959 Can't calculate square root of the right side. The solution to this equation could not be determined.
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