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Simplifying -3x2 + 12x2 + -16x + 8 = 0 Reorder the terms: 8 + -16x + -3x2 + 12x2 = 0 Combine like terms: -3x2 + 12x2 = 9x2 8 + -16x + 9x2 = 0 Solving 8 + -16x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.8888888889 + -1.777777778x + x2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + -1.777777778x + -0.8888888889 + x2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + -1.777777778x + x2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + -1.777777778x + x2 = 0 + -0.8888888889 -1.777777778x + x2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 -1.777777778x + x2 = -0.8888888889 The x term is -1.777777778x. Take half its coefficient (-0.888888889). Square it (0.7901234570) and add it to both sides. Add '0.7901234570' to each side of the equation. -1.777777778x + 0.7901234570 + x2 = -0.8888888889 + 0.7901234570 Reorder the terms: 0.7901234570 + -1.777777778x + x2 = -0.8888888889 + 0.7901234570 Combine like terms: -0.8888888889 + 0.7901234570 = -0.0987654319 0.7901234570 + -1.777777778x + x2 = -0.0987654319 Factor a perfect square on the left side: (x + -0.888888889)(x + -0.888888889) = -0.0987654319 Can't calculate square root of the right side. The solution to this equation could not be determined.
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