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Simplifying (4x2 + -4x + 109) = 0 Reorder the terms: (109 + -4x + 4x2) = 0 Remove parenthesis around (109 + -4x + 4x2) 109 + -4x + 4x2 = 0 Solving 109 + -4x + 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 + -1x + x2 = 0 Move the constant term to the right: Add '-27.25' to each side of the equation. 27.25 + -1x + -27.25 + x2 = 0 + -27.25 Reorder the terms: 27.25 + -27.25 + -1x + x2 = 0 + -27.25 Combine like terms: 27.25 + -27.25 = 0.00 0.00 + -1x + x2 = 0 + -27.25 -1x + x2 = 0 + -27.25 Combine like terms: 0 + -27.25 = -27.25 -1x + x2 = -27.25 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -27.25 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -27.25 + 0.25 Combine like terms: -27.25 + 0.25 = -27 0.25 + -1x + x2 = -27 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -27 Can't calculate square root of the right side. The solution to this equation could not be determined.
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