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Simplifying 1.5x(6x + -1) = -2 + x Reorder the terms: 1.5x(-1 + 6x) = -2 + x (-1 * 1.5x + 6x * 1.5x) = -2 + x (-1.5x + 9x2) = -2 + x Solving -1.5x + 9x2 = -2 + x Solving for variable 'x'. Reorder the terms: 2 + -1.5x + -1x + 9x2 = -2 + x + 2 + -1x Combine like terms: -1.5x + -1x = -2.5x 2 + -2.5x + 9x2 = -2 + x + 2 + -1x Reorder the terms: 2 + -2.5x + 9x2 = -2 + 2 + x + -1x Combine like terms: -2 + 2 = 0 2 + -2.5x + 9x2 = 0 + x + -1x 2 + -2.5x + 9x2 = x + -1x Combine like terms: x + -1x = 0 2 + -2.5x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.2222222222 + -0.2777777778x + x2 = 0 Move the constant term to the right: Add '-0.2222222222' to each side of the equation. 0.2222222222 + -0.2777777778x + -0.2222222222 + x2 = 0 + -0.2222222222 Reorder the terms: 0.2222222222 + -0.2222222222 + -0.2777777778x + x2 = 0 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + -0.2777777778x + x2 = 0 + -0.2222222222 -0.2777777778x + x2 = 0 + -0.2222222222 Combine like terms: 0 + -0.2222222222 = -0.2222222222 -0.2777777778x + x2 = -0.2222222222 The x term is -0.2777777778x. Take half its coefficient (-0.1388888889). Square it (0.01929012346) and add it to both sides. Add '0.01929012346' to each side of the equation. -0.2777777778x + 0.01929012346 + x2 = -0.2222222222 + 0.01929012346 Reorder the terms: 0.01929012346 + -0.2777777778x + x2 = -0.2222222222 + 0.01929012346 Combine like terms: -0.2222222222 + 0.01929012346 = -0.20293209874 0.01929012346 + -0.2777777778x + x2 = -0.20293209874 Factor a perfect square on the left side: (x + -0.1388888889)(x + -0.1388888889) = -0.20293209874 Can't calculate square root of the right side. The solution to this equation could not be determined.
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