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Simplifying 4x2 + -18x + 109 = 0 Reorder the terms: 109 + -18x + 4x2 = 0 Solving 109 + -18x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 27.25 + -4.5x + x2 = 0 Move the constant term to the right: Add '-27.25' to each side of the equation. 27.25 + -4.5x + -27.25 + x2 = 0 + -27.25 Reorder the terms: 27.25 + -27.25 + -4.5x + x2 = 0 + -27.25 Combine like terms: 27.25 + -27.25 = 0.00 0.00 + -4.5x + x2 = 0 + -27.25 -4.5x + x2 = 0 + -27.25 Combine like terms: 0 + -27.25 = -27.25 -4.5x + x2 = -27.25 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 = -27.25 + 5.0625 Reorder the terms: 5.0625 + -4.5x + x2 = -27.25 + 5.0625 Combine like terms: -27.25 + 5.0625 = -22.1875 5.0625 + -4.5x + x2 = -22.1875 Factor a perfect square on the left side: (x + -2.25)(x + -2.25) = -22.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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