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Simplifying 7x2 + 23x + 20 = 0 Reorder the terms: 20 + 23x + 7x2 = 0 Solving 20 + 23x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 2.857142857 + 3.285714286x + x2 = 0 Move the constant term to the right: Add '-2.857142857' to each side of the equation. 2.857142857 + 3.285714286x + -2.857142857 + x2 = 0 + -2.857142857 Reorder the terms: 2.857142857 + -2.857142857 + 3.285714286x + x2 = 0 + -2.857142857 Combine like terms: 2.857142857 + -2.857142857 = 0.000000000 0.000000000 + 3.285714286x + x2 = 0 + -2.857142857 3.285714286x + x2 = 0 + -2.857142857 Combine like terms: 0 + -2.857142857 = -2.857142857 3.285714286x + x2 = -2.857142857 The x term is 3.285714286x. Take half its coefficient (1.642857143). Square it (2.698979592) and add it to both sides. Add '2.698979592' to each side of the equation. 3.285714286x + 2.698979592 + x2 = -2.857142857 + 2.698979592 Reorder the terms: 2.698979592 + 3.285714286x + x2 = -2.857142857 + 2.698979592 Combine like terms: -2.857142857 + 2.698979592 = -0.158163265 2.698979592 + 3.285714286x + x2 = -0.158163265 Factor a perfect square on the left side: (x + 1.642857143)(x + 1.642857143) = -0.158163265 Can't calculate square root of the right side. The solution to this equation could not be determined.
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