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Simplifying 4X2 + -13X + 27 = 0 Reorder the terms: 27 + -13X + 4X2 = 0 Solving 27 + -13X + 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'. 6.75 + -3.25X + X2 = 0 Move the constant term to the right: Add '-6.75' to each side of the equation. 6.75 + -3.25X + -6.75 + X2 = 0 + -6.75 Reorder the terms: 6.75 + -6.75 + -3.25X + X2 = 0 + -6.75 Combine like terms: 6.75 + -6.75 = 0.00 0.00 + -3.25X + X2 = 0 + -6.75 -3.25X + X2 = 0 + -6.75 Combine like terms: 0 + -6.75 = -6.75 -3.25X + X2 = -6.75 The X term is -3.25X. Take half its coefficient (-1.625). Square it (2.640625) and add it to both sides. Add '2.640625' to each side of the equation. -3.25X + 2.640625 + X2 = -6.75 + 2.640625 Reorder the terms: 2.640625 + -3.25X + X2 = -6.75 + 2.640625 Combine like terms: -6.75 + 2.640625 = -4.109375 2.640625 + -3.25X + X2 = -4.109375 Factor a perfect square on the left side: (X + -1.625)(X + -1.625) = -4.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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