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Simplifying 7x2 = 43x + -7600 Reorder the terms: 7x2 = -7600 + 43x Solving 7x2 = -7600 + 43x Solving for variable 'x'. Reorder the terms: 7600 + -43x + 7x2 = -7600 + 43x + 7600 + -43x Reorder the terms: 7600 + -43x + 7x2 = -7600 + 7600 + 43x + -43x Combine like terms: -7600 + 7600 = 0 7600 + -43x + 7x2 = 0 + 43x + -43x 7600 + -43x + 7x2 = 43x + -43x Combine like terms: 43x + -43x = 0 7600 + -43x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1085.714286 + -6.142857143x + x2 = 0 Move the constant term to the right: Add '-1085.714286' to each side of the equation. 1085.714286 + -6.142857143x + -1085.714286 + x2 = 0 + -1085.714286 Reorder the terms: 1085.714286 + -1085.714286 + -6.142857143x + x2 = 0 + -1085.714286 Combine like terms: 1085.714286 + -1085.714286 = 0.000000 0.000000 + -6.142857143x + x2 = 0 + -1085.714286 -6.142857143x + x2 = 0 + -1085.714286 Combine like terms: 0 + -1085.714286 = -1085.714286 -6.142857143x + x2 = -1085.714286 The x term is -6.142857143x. Take half its coefficient (-3.071428572). Square it (9.433673473) and add it to both sides. Add '9.433673473' to each side of the equation. -6.142857143x + 9.433673473 + x2 = -1085.714286 + 9.433673473 Reorder the terms: 9.433673473 + -6.142857143x + x2 = -1085.714286 + 9.433673473 Combine like terms: -1085.714286 + 9.433673473 = -1076.280612527 9.433673473 + -6.142857143x + x2 = -1076.280612527 Factor a perfect square on the left side: (x + -3.071428572)(x + -3.071428572) = -1076.280612527 Can't calculate square root of the right side. The solution to this equation could not be determined.
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