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Simplifying 27x2 + -6x + 575 = 0 Reorder the terms: 575 + -6x + 27x2 = 0 Solving 575 + -6x + 27x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 21.2962963 + -0.2222222222x + x2 = 0 Move the constant term to the right: Add '-21.2962963' to each side of the equation. 21.2962963 + -0.2222222222x + -21.2962963 + x2 = 0 + -21.2962963 Reorder the terms: 21.2962963 + -21.2962963 + -0.2222222222x + x2 = 0 + -21.2962963 Combine like terms: 21.2962963 + -21.2962963 = 0.0000000 0.0000000 + -0.2222222222x + x2 = 0 + -21.2962963 -0.2222222222x + x2 = 0 + -21.2962963 Combine like terms: 0 + -21.2962963 = -21.2962963 -0.2222222222x + x2 = -21.2962963 The x term is -0.2222222222x. Take half its coefficient (-0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. -0.2222222222x + 0.01234567901 + x2 = -21.2962963 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222x + x2 = -21.2962963 + 0.01234567901 Combine like terms: -21.2962963 + 0.01234567901 = -21.28395062099 0.01234567901 + -0.2222222222x + x2 = -21.28395062099 Factor a perfect square on the left side: (x + -0.1111111111)(x + -0.1111111111) = -21.28395062099 Can't calculate square root of the right side. The solution to this equation could not be determined.
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