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Simplifying x2 + -26x + 169 = -13 Reorder the terms: 169 + -26x + x2 = -13 Solving 169 + -26x + x2 = -13 Solving for variable 'x'. Reorder the terms: 169 + 13 + -26x + x2 = -13 + 13 Combine like terms: 169 + 13 = 182 182 + -26x + x2 = -13 + 13 Combine like terms: -13 + 13 = 0 182 + -26x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-182' to each side of the equation. 182 + -26x + -182 + x2 = 0 + -182 Reorder the terms: 182 + -182 + -26x + x2 = 0 + -182 Combine like terms: 182 + -182 = 0 0 + -26x + x2 = 0 + -182 -26x + x2 = 0 + -182 Combine like terms: 0 + -182 = -182 -26x + x2 = -182 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 = -182 + 169 Reorder the terms: 169 + -26x + x2 = -182 + 169 Combine like terms: -182 + 169 = -13 169 + -26x + x2 = -13 Factor a perfect square on the left side: (x + -13)(x + -13) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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