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Simplifying (x + 13)(x + 13)(x + 13)(x + 13)(x + 13) = 25 Reorder the terms: (13 + x)(x + 13)(x + 13)(x + 13)(x + 13) = 25 Reorder the terms: (13 + x)(13 + x)(x + 13)(x + 13)(x + 13) = 25 Reorder the terms: (13 + x)(13 + x)(13 + x)(x + 13)(x + 13) = 25 Reorder the terms: (13 + x)(13 + x)(13 + x)(13 + x)(x + 13) = 25 Reorder the terms: (13 + x)(13 + x)(13 + x)(13 + x)(13 + x) = 25 Multiply (13 + x) * (13 + x) (13(13 + x) + x(13 + x))(13 + x)(13 + x)(13 + x) = 25 ((13 * 13 + x * 13) + x(13 + x))(13 + x)(13 + x)(13 + x) = 25 ((169 + 13x) + x(13 + x))(13 + x)(13 + x)(13 + x) = 25 (169 + 13x + (13 * x + x * x))(13 + x)(13 + x)(13 + x) = 25 (169 + 13x + (13x + x2))(13 + x)(13 + x)(13 + x) = 25 Combine like terms: 13x + 13x = 26x (169 + 26x + x2)(13 + x)(13 + x)(13 + x) = 25 Multiply (169 + 26x + x2) * (13 + x) (169(13 + x) + 26x * (13 + x) + x2(13 + x))(13 + x)(13 + x) = 25 ((13 * 169 + x * 169) + 26x * (13 + x) + x2(13 + x))(13 + x)(13 + x) = 25 ((2197 + 169x) + 26x * (13 + x) + x2(13 + x))(13 + x)(13 + x) = 25 (2197 + 169x + (13 * 26x + x * 26x) + x2(13 + x))(13 + x)(13 + x) = 25 (2197 + 169x + (338x + 26x2) + x2(13 + x))(13 + x)(13 + x) = 25 (2197 + 169x + 338x + 26x2 + (13 * x2 + x * x2))(13 + x)(13 + x) = 25 (2197 + 169x + 338x + 26x2 + (13x2 + x3))(13 + x)(13 + x) = 25 Combine like terms: 169x + 338x = 507x (2197 + 507x + 26x2 + 13x2 + x3)(13 + x)(13 + x) = 25 Combine like terms: 26x2 + 13x2 = 39x2 (2197 + 507x + 39x2 + x3)(13 + x)(13 + x) = 25 Multiply (2197 + 507x + 39x2 + x3) * (13 + x) (2197(13 + x) + 507x * (13 + x) + 39x2 * (13 + x) + x3(13 + x))(13 + x) = 25 ((13 * 2197 + x * 2197) + 507x * (13 + x) + 39x2 * (13 + x) + x3(13 + x))(13 + x) = 25 ((28561 + 2197x) + 507x * (13 + x) + 39x2 * (13 + x) + x3(13 + x))(13 + x) = 25 (28561 + 2197x + (13 * 507x + x * 507x) + 39x2 * (13 + x) + x3(13 + x))(13 + x) = 25 (28561 + 2197x + (6591x + 507x2) + 39x2 * (13 + x) + x3(13 + x))(13 + x) = 25 (28561 + 2197x + 6591x + 507x2 + (13 * 39x2 + x * 39x2) + x3(13 + x))(13 + x) = 25 (28561 + 2197x + 6591x + 507x2 + (507x2 + 39x3) + x3(13 + x))(13 + x) = 25 (28561 + 2197x + 6591x + 507x2 + 507x2 + 39x3 + (13 * x3 + x * x3))(13 + x) = 25 (28561 + 2197x + 6591x + 507x2 + 507x2 + 39x3 + (13x3 + x4))(13 + x) = 25 Combine like terms: 2197x + 6591x = 8788x (28561 + 8788x + 507x2 + 507x2 + 39x3 + 13x3 + x4)(13 + x) = 25 Combine like terms: 507x2 + 507x2 = 1014x2 (28561 + 8788x + 1014x2 + 39x3 + 13x3 + x4)(13 + x) = 25 Combine like terms: 39x3 + 13x3 = 52x3 (28561 + 8788x + 1014x2 + 52x3 + x4)(13 + x) = 25 Multiply (28561 + 8788x + 1014x2 + 52x3 + x4) * (13 + x) (28561(13 + x) + 8788x * (13 + x) + 1014x2 * (13 + x) + 52x3 * (13 + x) + x4(13 + x)) = 25 ((13 * 28561 + x * 28561) + 8788x * (13 + x) + 1014x2 * (13 + x) + 52x3 * (13 + x) + x4(13 + x)) = 25 ((371293 + 28561x) + 8788x * (13 + x) + 1014x2 * (13 + x) + 52x3 * (13 + x) + x4(13 + x)) = 25 (371293 + 28561x + (13 * 8788x + x * 8788x) + 1014x2 * (13 + x) + 52x3 * (13 + x) + x4(13 + x)) = 25 (371293 + 28561x + (114244x + 8788x2) + 1014x2 * (13 + x) + 52x3 * (13 + x) + x4(13 + x)) = 25 (371293 + 28561x + 114244x + 8788x2 + (13 * 1014x2 + x * 1014x2) + 52x3 * (13 + x) + x4(13 + x)) = 25 (371293 + 28561x + 114244x + 8788x2 + (13182x2 + 1014x3) + 52x3 * (13 + x) + x4(13 + x)) = 25 (371293 + 28561x + 114244x + 8788x2 + 13182x2 + 1014x3 + (13 * 52x3 + x * 52x3) + x4(13 + x)) = 25 (371293 + 28561x + 114244x + 8788x2 + 13182x2 + 1014x3 + (676x3 + 52x4) + x4(13 + x)) = 25 (371293 + 28561x + 114244x + 8788x2 + 13182x2 + 1014x3 + 676x3 + 52x4 + (13 * x4 + x * x4)) = 25 (371293 + 28561x + 114244x + 8788x2 + 13182x2 + 1014x3 + 676x3 + 52x4 + (13x4 + x5)) = 25 Combine like terms: 28561x + 114244x = 142805x (371293 + 142805x + 8788x2 + 13182x2 + 1014x3 + 676x3 + 52x4 + 13x4 + x5) = 25 Combine like terms: 8788x2 + 13182x2 = 21970x2 (371293 + 142805x + 21970x2 + 1014x3 + 676x3 + 52x4 + 13x4 + x5) = 25 Combine like terms: 1014x3 + 676x3 = 1690x3 (371293 + 142805x + 21970x2 + 1690x3 + 52x4 + 13x4 + x5) = 25 Combine like terms: 52x4 + 13x4 = 65x4 (371293 + 142805x + 21970x2 + 1690x3 + 65x4 + x5) = 25 Solving 371293 + 142805x + 21970x2 + 1690x3 + 65x4 + x5 = 25 Solving for variable 'x'. Reorder the terms: 371293 + -25 + 142805x + 21970x2 + 1690x3 + 65x4 + x5 = 25 + -25 Combine like terms: 371293 + -25 = 371268 371268 + 142805x + 21970x2 + 1690x3 + 65x4 + x5 = 25 + -25 Combine like terms: 25 + -25 = 0 371268 + 142805x + 21970x2 + 1690x3 + 65x4 + x5 = 0 The solution to this equation could not be determined.
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