(x+7)(x+7)(x+7)(x+7)+3=177

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Solution for (x+7)(x+7)(x+7)(x+7)+3=177 equation: 


Simplifying
(x + 7)(x + 7)(x + 7)(x + 7) + 3 = 177

Reorder the terms:
(7 + x)(x + 7)(x + 7)(x + 7) + 3 = 177

Reorder the terms:
(7 + x)(7 + x)(x + 7)(x + 7) + 3 = 177

Reorder the terms:
(7 + x)(7 + x)(7 + x)(x + 7) + 3 = 177

Reorder the terms:
(7 + x)(7 + x)(7 + x)(7 + x) + 3 = 177

Multiply (7 + x) * (7 + x)
(7(7 + x) + x(7 + x))(7 + x)(7 + x) + 3 = 177
((7 * 7 + x * 7) + x(7 + x))(7 + x)(7 + x) + 3 = 177
((49 + 7x) + x(7 + x))(7 + x)(7 + x) + 3 = 177
(49 + 7x + (7 * x + x * x))(7 + x)(7 + x) + 3 = 177
(49 + 7x + (7x + x2))(7 + x)(7 + x) + 3 = 177

Combine like terms: 7x + 7x = 14x
(49 + 14x + x2)(7 + x)(7 + x) + 3 = 177

Multiply (49 + 14x + x2) * (7 + x)
(49(7 + x) + 14x * (7 + x) + x2(7 + x))(7 + x) + 3 = 177
((7 * 49 + x * 49) + 14x * (7 + x) + x2(7 + x))(7 + x) + 3 = 177
((343 + 49x) + 14x * (7 + x) + x2(7 + x))(7 + x) + 3 = 177
(343 + 49x + (7 * 14x + x * 14x) + x2(7 + x))(7 + x) + 3 = 177
(343 + 49x + (98x + 14x2) + x2(7 + x))(7 + x) + 3 = 177
(343 + 49x + 98x + 14x2 + (7 * x2 + x * x2))(7 + x) + 3 = 177
(343 + 49x + 98x + 14x2 + (7x2 + x3))(7 + x) + 3 = 177

Combine like terms: 49x + 98x = 147x
(343 + 147x + 14x2 + 7x2 + x3)(7 + x) + 3 = 177

Combine like terms: 14x2 + 7x2 = 21x2
(343 + 147x + 21x2 + x3)(7 + x) + 3 = 177

Multiply (343 + 147x + 21x2 + x3) * (7 + x)
(343(7 + x) + 147x * (7 + x) + 21x2 * (7 + x) + x3(7 + x)) + 3 = 177
((7 * 343 + x * 343) + 147x * (7 + x) + 21x2 * (7 + x) + x3(7 + x)) + 3 = 177
((2401 + 343x) + 147x * (7 + x) + 21x2 * (7 + x) + x3(7 + x)) + 3 = 177
(2401 + 343x + (7 * 147x + x * 147x) + 21x2 * (7 + x) + x3(7 + x)) + 3 = 177
(2401 + 343x + (1029x + 147x2) + 21x2 * (7 + x) + x3(7 + x)) + 3 = 177
(2401 + 343x + 1029x + 147x2 + (7 * 21x2 + x * 21x2) + x3(7 + x)) + 3 = 177
(2401 + 343x + 1029x + 147x2 + (147x2 + 21x3) + x3(7 + x)) + 3 = 177
(2401 + 343x + 1029x + 147x2 + 147x2 + 21x3 + (7 * x3 + x * x3)) + 3 = 177
(2401 + 343x + 1029x + 147x2 + 147x2 + 21x3 + (7x3 + x4)) + 3 = 177

Combine like terms: 343x + 1029x = 1372x
(2401 + 1372x + 147x2 + 147x2 + 21x3 + 7x3 + x4) + 3 = 177

Combine like terms: 147x2 + 147x2 = 294x2
(2401 + 1372x + 294x2 + 21x3 + 7x3 + x4) + 3 = 177

Combine like terms: 21x3 + 7x3 = 28x3
(2401 + 1372x + 294x2 + 28x3 + x4) + 3 = 177

Reorder the terms:
2401 + 3 + 1372x + 294x2 + 28x3 + x4 = 177

Combine like terms: 2401 + 3 = 2404
2404 + 1372x + 294x2 + 28x3 + x4 = 177

Solving
2404 + 1372x + 294x2 + 28x3 + x4 = 177

Solving for variable 'x'.

Reorder the terms:
2404 + -177 + 1372x + 294x2 + 28x3 + x4 = 177 + -177

Combine like terms: 2404 + -177 = 2227
2227 + 1372x + 294x2 + 28x3 + x4 = 177 + -177

Combine like terms: 177 + -177 = 0
2227 + 1372x + 294x2 + 28x3 + x4 = 0

The solution to this equation could not be determined.

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