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Simplifying 45x2 + 8 = -26x Reorder the terms: 8 + 45x2 = -26x Solving 8 + 45x2 = -26x Solving for variable 'x'. Reorder the terms: 8 + 26x + 45x2 = -26x + 26x Combine like terms: -26x + 26x = 0 8 + 26x + 45x2 = 0 Begin completing the square. Divide all terms by 45 the coefficient of the squared term: Divide each side by '45'. 0.1777777778 + 0.5777777778x + x2 = 0 Move the constant term to the right: Add '-0.1777777778' to each side of the equation. 0.1777777778 + 0.5777777778x + -0.1777777778 + x2 = 0 + -0.1777777778 Reorder the terms: 0.1777777778 + -0.1777777778 + 0.5777777778x + x2 = 0 + -0.1777777778 Combine like terms: 0.1777777778 + -0.1777777778 = 0.0000000000 0.0000000000 + 0.5777777778x + x2 = 0 + -0.1777777778 0.5777777778x + x2 = 0 + -0.1777777778 Combine like terms: 0 + -0.1777777778 = -0.1777777778 0.5777777778x + x2 = -0.1777777778 The x term is 0.5777777778x. Take half its coefficient (0.2888888889). Square it (0.08345679013) and add it to both sides. Add '0.08345679013' to each side of the equation. 0.5777777778x + 0.08345679013 + x2 = -0.1777777778 + 0.08345679013 Reorder the terms: 0.08345679013 + 0.5777777778x + x2 = -0.1777777778 + 0.08345679013 Combine like terms: -0.1777777778 + 0.08345679013 = -0.09432098767 0.08345679013 + 0.5777777778x + x2 = -0.09432098767 Factor a perfect square on the left side: (x + 0.2888888889)(x + 0.2888888889) = -0.09432098767 Can't calculate square root of the right side. The solution to this equation could not be determined.
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