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Simplifying 4X2 + -11X + 45 = 0 Reorder the terms: 45 + -11X + 4X2 = 0 Solving 45 + -11X + 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'. 11.25 + -2.75X + X2 = 0 Move the constant term to the right: Add '-11.25' to each side of the equation. 11.25 + -2.75X + -11.25 + X2 = 0 + -11.25 Reorder the terms: 11.25 + -11.25 + -2.75X + X2 = 0 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 0.00 + -2.75X + X2 = 0 + -11.25 -2.75X + X2 = 0 + -11.25 Combine like terms: 0 + -11.25 = -11.25 -2.75X + X2 = -11.25 The X term is -2.75X. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75X + 1.890625 + X2 = -11.25 + 1.890625 Reorder the terms: 1.890625 + -2.75X + X2 = -11.25 + 1.890625 Combine like terms: -11.25 + 1.890625 = -9.359375 1.890625 + -2.75X + X2 = -9.359375 Factor a perfect square on the left side: (X + -1.375)(X + -1.375) = -9.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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