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Simplifying x2 + 26x + 1360 = 0 Reorder the terms: 1360 + 26x + x2 = 0 Solving 1360 + 26x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1360' to each side of the equation. 1360 + 26x + -1360 + x2 = 0 + -1360 Reorder the terms: 1360 + -1360 + 26x + x2 = 0 + -1360 Combine like terms: 1360 + -1360 = 0 0 + 26x + x2 = 0 + -1360 26x + x2 = 0 + -1360 Combine like terms: 0 + -1360 = -1360 26x + x2 = -1360 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 = -1360 + 169 Reorder the terms: 169 + 26x + x2 = -1360 + 169 Combine like terms: -1360 + 169 = -1191 169 + 26x + x2 = -1191 Factor a perfect square on the left side: (x + 13)(x + 13) = -1191 Can't calculate square root of the right side. The solution to this equation could not be determined.
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