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Simplifying 6x2 + -27x + 50 = 0 Reorder the terms: 50 + -27x + 6x2 = 0 Solving 50 + -27x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 8.333333333 + -4.5x + x2 = 0 Move the constant term to the right: Add '-8.333333333' to each side of the equation. 8.333333333 + -4.5x + -8.333333333 + x2 = 0 + -8.333333333 Reorder the terms: 8.333333333 + -8.333333333 + -4.5x + x2 = 0 + -8.333333333 Combine like terms: 8.333333333 + -8.333333333 = 0.000000000 0.000000000 + -4.5x + x2 = 0 + -8.333333333 -4.5x + x2 = 0 + -8.333333333 Combine like terms: 0 + -8.333333333 = -8.333333333 -4.5x + x2 = -8.333333333 The x term is -4.5x. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5x + 5.0625 + x2 = -8.333333333 + 5.0625 Reorder the terms: 5.0625 + -4.5x + x2 = -8.333333333 + 5.0625 Combine like terms: -8.333333333 + 5.0625 = -3.270833333 5.0625 + -4.5x + x2 = -3.270833333 Factor a perfect square on the left side: (x + -2.25)(x + -2.25) = -3.270833333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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