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Simplifying 28x2 + -27 = 6x + x2 + -31 Reorder the terms: -27 + 28x2 = 6x + x2 + -31 Reorder the terms: -27 + 28x2 = -31 + 6x + x2 Solving -27 + 28x2 = -31 + 6x + x2 Solving for variable 'x'. Reorder the terms: -27 + 31 + -6x + 28x2 + -1x2 = -31 + 6x + x2 + 31 + -6x + -1x2 Combine like terms: -27 + 31 = 4 4 + -6x + 28x2 + -1x2 = -31 + 6x + x2 + 31 + -6x + -1x2 Combine like terms: 28x2 + -1x2 = 27x2 4 + -6x + 27x2 = -31 + 6x + x2 + 31 + -6x + -1x2 Reorder the terms: 4 + -6x + 27x2 = -31 + 31 + 6x + -6x + x2 + -1x2 Combine like terms: -31 + 31 = 0 4 + -6x + 27x2 = 0 + 6x + -6x + x2 + -1x2 4 + -6x + 27x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 4 + -6x + 27x2 = 0 + x2 + -1x2 4 + -6x + 27x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + -6x + 27x2 = 0 Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 0.1481481481 + -0.2222222222x + x2 = 0 Move the constant term to the right: Add '-0.1481481481' to each side of the equation. 0.1481481481 + -0.2222222222x + -0.1481481481 + x2 = 0 + -0.1481481481 Reorder the terms: 0.1481481481 + -0.1481481481 + -0.2222222222x + x2 = 0 + -0.1481481481 Combine like terms: 0.1481481481 + -0.1481481481 = 0.0000000000 0.0000000000 + -0.2222222222x + x2 = 0 + -0.1481481481 -0.2222222222x + x2 = 0 + -0.1481481481 Combine like terms: 0 + -0.1481481481 = -0.1481481481 -0.2222222222x + x2 = -0.1481481481 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 = -0.1481481481 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222x + x2 = -0.1481481481 + 0.01234567901 Combine like terms: -0.1481481481 + 0.01234567901 = -0.13580246909 0.01234567901 + -0.2222222222x + x2 = -0.13580246909 Factor a perfect square on the left side: (x + -0.1111111111)(x + -0.1111111111) = -0.13580246909 Can't calculate square root of the right side. The solution to this equation could not be determined.
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