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Simplifying 2x2 + -8x + 13 = 0 Reorder the terms: 13 + -8x + 2x2 = 0 Solving 13 + -8x + 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'. 6.5 + -4x + x2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + -4x + -6.5 + x2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + -4x + x2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -4x + x2 = 0 + -6.5 -4x + x2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 -4x + x2 = -6.5 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -6.5 + 4 Reorder the terms: 4 + -4x + x2 = -6.5 + 4 Combine like terms: -6.5 + 4 = -2.5 4 + -4x + x2 = -2.5 Factor a perfect square on the left side: (x + -2)(x + -2) = -2.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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