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Simplifying (17x + 18)(x + -2) = -40 Reorder the terms: (18 + 17x)(x + -2) = -40 Reorder the terms: (18 + 17x)(-2 + x) = -40 Multiply (18 + 17x) * (-2 + x) (18(-2 + x) + 17x * (-2 + x)) = -40 ((-2 * 18 + x * 18) + 17x * (-2 + x)) = -40 ((-36 + 18x) + 17x * (-2 + x)) = -40 (-36 + 18x + (-2 * 17x + x * 17x)) = -40 (-36 + 18x + (-34x + 17x2)) = -40 Combine like terms: 18x + -34x = -16x (-36 + -16x + 17x2) = -40 Solving -36 + -16x + 17x2 = -40 Solving for variable 'x'. Reorder the terms: -36 + 40 + -16x + 17x2 = -40 + 40 Combine like terms: -36 + 40 = 4 4 + -16x + 17x2 = -40 + 40 Combine like terms: -40 + 40 = 0 4 + -16x + 17x2 = 0 Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 0.2352941176 + -0.9411764706x + x2 = 0 Move the constant term to the right: Add '-0.2352941176' to each side of the equation. 0.2352941176 + -0.9411764706x + -0.2352941176 + x2 = 0 + -0.2352941176 Reorder the terms: 0.2352941176 + -0.2352941176 + -0.9411764706x + x2 = 0 + -0.2352941176 Combine like terms: 0.2352941176 + -0.2352941176 = 0.0000000000 0.0000000000 + -0.9411764706x + x2 = 0 + -0.2352941176 -0.9411764706x + x2 = 0 + -0.2352941176 Combine like terms: 0 + -0.2352941176 = -0.2352941176 -0.9411764706x + x2 = -0.2352941176 The x term is -0.9411764706x. Take half its coefficient (-0.4705882353). Square it (0.2214532872) and add it to both sides. Add '0.2214532872' to each side of the equation. -0.9411764706x + 0.2214532872 + x2 = -0.2352941176 + 0.2214532872 Reorder the terms: 0.2214532872 + -0.9411764706x + x2 = -0.2352941176 + 0.2214532872 Combine like terms: -0.2352941176 + 0.2214532872 = -0.0138408304 0.2214532872 + -0.9411764706x + x2 = -0.0138408304 Factor a perfect square on the left side: (x + -0.4705882353)(x + -0.4705882353) = -0.0138408304 Can't calculate square root of the right side. The solution to this equation could not be determined.
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