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Simplifying 7x2 + 37x + 55 = 0 Reorder the terms: 55 + 37x + 7x2 = 0 Solving 55 + 37x + 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'. 7.857142857 + 5.285714286x + x2 = 0 Move the constant term to the right: Add '-7.857142857' to each side of the equation. 7.857142857 + 5.285714286x + -7.857142857 + x2 = 0 + -7.857142857 Reorder the terms: 7.857142857 + -7.857142857 + 5.285714286x + x2 = 0 + -7.857142857 Combine like terms: 7.857142857 + -7.857142857 = 0.000000000 0.000000000 + 5.285714286x + x2 = 0 + -7.857142857 5.285714286x + x2 = 0 + -7.857142857 Combine like terms: 0 + -7.857142857 = -7.857142857 5.285714286x + x2 = -7.857142857 The x term is 5.285714286x. Take half its coefficient (2.642857143). Square it (6.984693878) and add it to both sides. Add '6.984693878' to each side of the equation. 5.285714286x + 6.984693878 + x2 = -7.857142857 + 6.984693878 Reorder the terms: 6.984693878 + 5.285714286x + x2 = -7.857142857 + 6.984693878 Combine like terms: -7.857142857 + 6.984693878 = -0.872448979 6.984693878 + 5.285714286x + x2 = -0.872448979 Factor a perfect square on the left side: (x + 2.642857143)(x + 2.642857143) = -0.872448979 Can't calculate square root of the right side. The solution to this equation could not be determined.
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