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Simplifying 2x2 + -33x + 216 = 0 Reorder the terms: 216 + -33x + 2x2 = 0 Solving 216 + -33x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 108 + -16.5x + x2 = 0 Move the constant term to the right: Add '-108' to each side of the equation. 108 + -16.5x + -108 + x2 = 0 + -108 Reorder the terms: 108 + -108 + -16.5x + x2 = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -16.5x + x2 = 0 + -108 -16.5x + x2 = 0 + -108 Combine like terms: 0 + -108 = -108 -16.5x + x2 = -108 The x term is -16.5x. Take half its coefficient (-8.25). Square it (68.0625) and add it to both sides. Add '68.0625' to each side of the equation. -16.5x + 68.0625 + x2 = -108 + 68.0625 Reorder the terms: 68.0625 + -16.5x + x2 = -108 + 68.0625 Combine like terms: -108 + 68.0625 = -39.9375 68.0625 + -16.5x + x2 = -39.9375 Factor a perfect square on the left side: (x + -8.25)(x + -8.25) = -39.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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