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Simplifying x2 + -26x + 15697 = 0 Reorder the terms: 15697 + -26x + x2 = 0 Solving 15697 + -26x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-15697' to each side of the equation. 15697 + -26x + -15697 + x2 = 0 + -15697 Reorder the terms: 15697 + -15697 + -26x + x2 = 0 + -15697 Combine like terms: 15697 + -15697 = 0 0 + -26x + x2 = 0 + -15697 -26x + x2 = 0 + -15697 Combine like terms: 0 + -15697 = -15697 -26x + x2 = -15697 The x term is -26x. Take half its coefficient (-13). Square it (169) and add it to both sides. Add '169' to each side of the equation. -26x + 169 + x2 = -15697 + 169 Reorder the terms: 169 + -26x + x2 = -15697 + 169 Combine like terms: -15697 + 169 = -15528 169 + -26x + x2 = -15528 Factor a perfect square on the left side: (x + -13)(x + -13) = -15528 Can't calculate square root of the right side. The solution to this equation could not be determined.
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