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Simplifying 27x2 + -8x + 56 = 0 Reorder the terms: 56 + -8x + 27x2 = 0 Solving 56 + -8x + 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'. 2.074074074 + -0.2962962963x + x2 = 0 Move the constant term to the right: Add '-2.074074074' to each side of the equation. 2.074074074 + -0.2962962963x + -2.074074074 + x2 = 0 + -2.074074074 Reorder the terms: 2.074074074 + -2.074074074 + -0.2962962963x + x2 = 0 + -2.074074074 Combine like terms: 2.074074074 + -2.074074074 = 0.000000000 0.000000000 + -0.2962962963x + x2 = 0 + -2.074074074 -0.2962962963x + x2 = 0 + -2.074074074 Combine like terms: 0 + -2.074074074 = -2.074074074 -0.2962962963x + x2 = -2.074074074 The x term is -0.2962962963x. Take half its coefficient (-0.1481481482). Square it (0.02194787382) and add it to both sides. Add '0.02194787382' to each side of the equation. -0.2962962963x + 0.02194787382 + x2 = -2.074074074 + 0.02194787382 Reorder the terms: 0.02194787382 + -0.2962962963x + x2 = -2.074074074 + 0.02194787382 Combine like terms: -2.074074074 + 0.02194787382 = -2.05212620018 0.02194787382 + -0.2962962963x + x2 = -2.05212620018 Factor a perfect square on the left side: (x + -0.1481481482)(x + -0.1481481482) = -2.05212620018 Can't calculate square root of the right side. The solution to this equation could not be determined.
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