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Simplifying 0 = (x2) + -52x + 689 0 = x2 + -52x + 689 Reorder the terms: 0 = 689 + -52x + x2 Solving 0 = 689 + -52x + x2 Solving for variable 'x'. Combine like terms: 0 + -689 = -689 -689 + 52x + -1x2 = 689 + -52x + x2 + -689 + 52x + -1x2 Reorder the terms: -689 + 52x + -1x2 = 689 + -689 + -52x + 52x + x2 + -1x2 Combine like terms: 689 + -689 = 0 -689 + 52x + -1x2 = 0 + -52x + 52x + x2 + -1x2 -689 + 52x + -1x2 = -52x + 52x + x2 + -1x2 Combine like terms: -52x + 52x = 0 -689 + 52x + -1x2 = 0 + x2 + -1x2 -689 + 52x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -689 + 52x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 689 + -52x + x2 = 0 Move the constant term to the right: Add '-689' to each side of the equation. 689 + -52x + -689 + x2 = 0 + -689 Reorder the terms: 689 + -689 + -52x + x2 = 0 + -689 Combine like terms: 689 + -689 = 0 0 + -52x + x2 = 0 + -689 -52x + x2 = 0 + -689 Combine like terms: 0 + -689 = -689 -52x + x2 = -689 The x term is -52x. Take half its coefficient (-26). Square it (676) and add it to both sides. Add '676' to each side of the equation. -52x + 676 + x2 = -689 + 676 Reorder the terms: 676 + -52x + x2 = -689 + 676 Combine like terms: -689 + 676 = -13 676 + -52x + x2 = -13 Factor a perfect square on the left side: (x + -26)(x + -26) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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