(3x+7)*(3x+7)*(3x+7)*(3x+7)=y

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Solution for (3x+7)*(3x+7)*(3x+7)*(3x+7)=y equation:


Simplifying
(3x + 7)(3x + 7)(3x + 7)(3x + 7) = y

Reorder the terms:
(7 + 3x)(3x + 7)(3x + 7)(3x + 7) = y

Reorder the terms:
(7 + 3x)(7 + 3x)(3x + 7)(3x + 7) = y

Reorder the terms:
(7 + 3x)(7 + 3x)(7 + 3x)(3x + 7) = y

Reorder the terms:
(7 + 3x)(7 + 3x)(7 + 3x)(7 + 3x) = y

Multiply (7 + 3x) * (7 + 3x)
(7(7 + 3x) + 3x * (7 + 3x))(7 + 3x)(7 + 3x) = y
((7 * 7 + 3x * 7) + 3x * (7 + 3x))(7 + 3x)(7 + 3x) = y
((49 + 21x) + 3x * (7 + 3x))(7 + 3x)(7 + 3x) = y
(49 + 21x + (7 * 3x + 3x * 3x))(7 + 3x)(7 + 3x) = y
(49 + 21x + (21x + 9x2))(7 + 3x)(7 + 3x) = y

Combine like terms: 21x + 21x = 42x
(49 + 42x + 9x2)(7 + 3x)(7 + 3x) = y

Multiply (49 + 42x + 9x2) * (7 + 3x)
(49(7 + 3x) + 42x * (7 + 3x) + 9x2 * (7 + 3x))(7 + 3x) = y
((7 * 49 + 3x * 49) + 42x * (7 + 3x) + 9x2 * (7 + 3x))(7 + 3x) = y
((343 + 147x) + 42x * (7 + 3x) + 9x2 * (7 + 3x))(7 + 3x) = y
(343 + 147x + (7 * 42x + 3x * 42x) + 9x2 * (7 + 3x))(7 + 3x) = y
(343 + 147x + (294x + 126x2) + 9x2 * (7 + 3x))(7 + 3x) = y
(343 + 147x + 294x + 126x2 + (7 * 9x2 + 3x * 9x2))(7 + 3x) = y
(343 + 147x + 294x + 126x2 + (63x2 + 27x3))(7 + 3x) = y

Combine like terms: 147x + 294x = 441x
(343 + 441x + 126x2 + 63x2 + 27x3)(7 + 3x) = y

Combine like terms: 126x2 + 63x2 = 189x2
(343 + 441x + 189x2 + 27x3)(7 + 3x) = y

Multiply (343 + 441x + 189x2 + 27x3) * (7 + 3x)
(343(7 + 3x) + 441x * (7 + 3x) + 189x2 * (7 + 3x) + 27x3 * (7 + 3x)) = y
((7 * 343 + 3x * 343) + 441x * (7 + 3x) + 189x2 * (7 + 3x) + 27x3 * (7 + 3x)) = y
((2401 + 1029x) + 441x * (7 + 3x) + 189x2 * (7 + 3x) + 27x3 * (7 + 3x)) = y
(2401 + 1029x + (7 * 441x + 3x * 441x) + 189x2 * (7 + 3x) + 27x3 * (7 + 3x)) = y
(2401 + 1029x + (3087x + 1323x2) + 189x2 * (7 + 3x) + 27x3 * (7 + 3x)) = y
(2401 + 1029x + 3087x + 1323x2 + (7 * 189x2 + 3x * 189x2) + 27x3 * (7 + 3x)) = y
(2401 + 1029x + 3087x + 1323x2 + (1323x2 + 567x3) + 27x3 * (7 + 3x)) = y
(2401 + 1029x + 3087x + 1323x2 + 1323x2 + 567x3 + (7 * 27x3 + 3x * 27x3)) = y
(2401 + 1029x + 3087x + 1323x2 + 1323x2 + 567x3 + (189x3 + 81x4)) = y

Combine like terms: 1029x + 3087x = 4116x
(2401 + 4116x + 1323x2 + 1323x2 + 567x3 + 189x3 + 81x4) = y

Combine like terms: 1323x2 + 1323x2 = 2646x2
(2401 + 4116x + 2646x2 + 567x3 + 189x3 + 81x4) = y

Combine like terms: 567x3 + 189x3 = 756x3
(2401 + 4116x + 2646x2 + 756x3 + 81x4) = y

Solving
2401 + 4116x + 2646x2 + 756x3 + 81x4 = y

Solving for variable 'x'.

Combine like terms: y + -1y = 0
2401 + 4116x + 2646x2 + 756x3 + 81x4 + -1y = 0

The solution to this equation could not be determined.

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