3.333=(1+x)*(1+x)*(1+x)*(1+x)*(1+x)*(1+x)*(1+x)

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Solution for 3.333=(1+x)*(1+x)*(1+x)*(1+x)*(1+x)*(1+x)*(1+x) equation: 


Simplifying
3.333 = (1 + x)(1 + x)(1 + x)(1 + x)(1 + x)(1 + x)(1 + x)

Multiply (1 + x) * (1 + x)
3.333 = (1(1 + x) + x(1 + x))(1 + x)(1 + x)(1 + x)(1 + x)(1 + x)
3.333 = ((1 * 1 + x * 1) + x(1 + x))(1 + x)(1 + x)(1 + x)(1 + x)(1 + x)
3.333 = ((1 + 1x) + x(1 + x))(1 + x)(1 + x)(1 + x)(1 + x)(1 + x)
3.333 = (1 + 1x + (1 * x + x * x))(1 + x)(1 + x)(1 + x)(1 + x)(1 + x)
3.333 = (1 + 1x + (1x + x2))(1 + x)(1 + x)(1 + x)(1 + x)(1 + x)

Combine like terms: 1x + 1x = 2x
3.333 = (1 + 2x + x2)(1 + x)(1 + x)(1 + x)(1 + x)(1 + x)

Multiply (1 + 2x + x2) * (1 + x)
3.333 = (1(1 + x) + 2x * (1 + x) + x2(1 + x))(1 + x)(1 + x)(1 + x)(1 + x)
3.333 = ((1 * 1 + x * 1) + 2x * (1 + x) + x2(1 + x))(1 + x)(1 + x)(1 + x)(1 + x)
3.333 = ((1 + 1x) + 2x * (1 + x) + x2(1 + x))(1 + x)(1 + x)(1 + x)(1 + x)
3.333 = (1 + 1x + (1 * 2x + x * 2x) + x2(1 + x))(1 + x)(1 + x)(1 + x)(1 + x)
3.333 = (1 + 1x + (2x + 2x2) + x2(1 + x))(1 + x)(1 + x)(1 + x)(1 + x)
3.333 = (1 + 1x + 2x + 2x2 + (1 * x2 + x * x2))(1 + x)(1 + x)(1 + x)(1 + x)
3.333 = (1 + 1x + 2x + 2x2 + (1x2 + x3))(1 + x)(1 + x)(1 + x)(1 + x)

Combine like terms: 1x + 2x = 3x
3.333 = (1 + 3x + 2x2 + 1x2 + x3)(1 + x)(1 + x)(1 + x)(1 + x)

Combine like terms: 2x2 + 1x2 = 3x2
3.333 = (1 + 3x + 3x2 + x3)(1 + x)(1 + x)(1 + x)(1 + x)

Multiply (1 + 3x + 3x2 + x3) * (1 + x)
3.333 = (1(1 + x) + 3x * (1 + x) + 3x2 * (1 + x) + x3(1 + x))(1 + x)(1 + x)(1 + x)
3.333 = ((1 * 1 + x * 1) + 3x * (1 + x) + 3x2 * (1 + x) + x3(1 + x))(1 + x)(1 + x)(1 + x)
3.333 = ((1 + 1x) + 3x * (1 + x) + 3x2 * (1 + x) + x3(1 + x))(1 + x)(1 + x)(1 + x)
3.333 = (1 + 1x + (1 * 3x + x * 3x) + 3x2 * (1 + x) + x3(1 + x))(1 + x)(1 + x)(1 + x)
3.333 = (1 + 1x + (3x + 3x2) + 3x2 * (1 + x) + x3(1 + x))(1 + x)(1 + x)(1 + x)
3.333 = (1 + 1x + 3x + 3x2 + (1 * 3x2 + x * 3x2) + x3(1 + x))(1 + x)(1 + x)(1 + x)
3.333 = (1 + 1x + 3x + 3x2 + (3x2 + 3x3) + x3(1 + x))(1 + x)(1 + x)(1 + x)
3.333 = (1 + 1x + 3x + 3x2 + 3x2 + 3x3 + (1 * x3 + x * x3))(1 + x)(1 + x)(1 + x)
3.333 = (1 + 1x + 3x + 3x2 + 3x2 + 3x3 + (1x3 + x4))(1 + x)(1 + x)(1 + x)

Combine like terms: 1x + 3x = 4x
3.333 = (1 + 4x + 3x2 + 3x2 + 3x3 + 1x3 + x4)(1 + x)(1 + x)(1 + x)

Combine like terms: 3x2 + 3x2 = 6x2
3.333 = (1 + 4x + 6x2 + 3x3 + 1x3 + x4)(1 + x)(1 + x)(1 + x)

Combine like terms: 3x3 + 1x3 = 4x3
3.333 = (1 + 4x + 6x2 + 4x3 + x4)(1 + x)(1 + x)(1 + x)

Multiply (1 + 4x + 6x2 + 4x3 + x4) * (1 + x)
3.333 = (1(1 + x) + 4x * (1 + x) + 6x2 * (1 + x) + 4x3 * (1 + x) + x4(1 + x))(1 + x)(1 + x)
3.333 = ((1 * 1 + x * 1) + 4x * (1 + x) + 6x2 * (1 + x) + 4x3 * (1 + x) + x4(1 + x))(1 + x)(1 + x)
3.333 = ((1 + 1x) + 4x * (1 + x) + 6x2 * (1 + x) + 4x3 * (1 + x) + x4(1 + x))(1 + x)(1 + x)
3.333 = (1 + 1x + (1 * 4x + x * 4x) + 6x2 * (1 + x) + 4x3 * (1 + x) + x4(1 + x))(1 + x)(1 + x)
3.333 = (1 + 1x + (4x + 4x2) + 6x2 * (1 + x) + 4x3 * (1 + x) + x4(1 + x))(1 + x)(1 + x)
3.333 = (1 + 1x + 4x + 4x2 + (1 * 6x2 + x * 6x2) + 4x3 * (1 + x) + x4(1 + x))(1 + x)(1 + x)
3.333 = (1 + 1x + 4x + 4x2 + (6x2 + 6x3) + 4x3 * (1 + x) + x4(1 + x))(1 + x)(1 + x)
3.333 = (1 + 1x + 4x + 4x2 + 6x2 + 6x3 + (1 * 4x3 + x * 4x3) + x4(1 + x))(1 + x)(1 + x)
3.333 = (1 + 1x + 4x + 4x2 + 6x2 + 6x3 + (4x3 + 4x4) + x4(1 + x))(1 + x)(1 + x)
3.333 = (1 + 1x + 4x + 4x2 + 6x2 + 6x3 + 4x3 + 4x4 + (1 * x4 + x * x4))(1 + x)(1 + x)
3.333 = (1 + 1x + 4x + 4x2 + 6x2 + 6x3 + 4x3 + 4x4 + (1x4 + x5))(1 + x)(1 + x)

Combine like terms: 1x + 4x = 5x
3.333 = (1 + 5x + 4x2 + 6x2 + 6x3 + 4x3 + 4x4 + 1x4 + x5)(1 + x)(1 + x)

Combine like terms: 4x2 + 6x2 = 10x2
3.333 = (1 + 5x + 10x2 + 6x3 + 4x3 + 4x4 + 1x4 + x5)(1 + x)(1 + x)

Combine like terms: 6x3 + 4x3 = 10x3
3.333 = (1 + 5x + 10x2 + 10x3 + 4x4 + 1x4 + x5)(1 + x)(1 + x)

Combine like terms: 4x4 + 1x4 = 5x4
3.333 = (1 + 5x + 10x2 + 10x3 + 5x4 + x5)(1 + x)(1 + x)

Multiply (1 + 5x + 10x2 + 10x3 + 5x4 + x5) * (1 + x)
3.333 = (1(1 + x) + 5x * (1 + x) + 10x2 * (1 + x) + 10x3 * (1 + x) + 5x4 * (1 + x) + x5(1 + x))(1 + x)
3.333 = ((1 * 1 + x * 1) + 5x * (1 + x) + 10x2 * (1 + x) + 10x3 * (1 + x) + 5x4 * (1 + x) + x5(1 + x))(1 + x)
3.333 = ((1 + 1x) + 5x * (1 + x) + 10x2 * (1 + x) + 10x3 * (1 + x) + 5x4 * (1 + x) + x5(1 + x))(1 + x)
3.333 = (1 + 1x + (1 * 5x + x * 5x) + 10x2 * (1 + x) + 10x3 * (1 + x) + 5x4 * (1 + x) + x5(1 + x))(1 + x)
3.333 = (1 + 1x + (5x + 5x2) + 10x2 * (1 + x) + 10x3 * (1 + x) + 5x4 * (1 + x) + x5(1 + x))(1 + x)
3.333 = (1 + 1x + 5x + 5x2 + (1 * 10x2 + x * 10x2) + 10x3 * (1 + x) + 5x4 * (1 + x) + x5(1 + x))(1 + x)
3.333 = (1 + 1x + 5x + 5x2 + (10x2 + 10x3) + 10x3 * (1 + x) + 5x4 * (1 + x) + x5(1 + x))(1 + x)
3.333 = (1 + 1x + 5x + 5x2 + 10x2 + 10x3 + (1 * 10x3 + x * 10x3) + 5x4 * (1 + x) + x5(1 + x))(1 + x)
3.333 = (1 + 1x + 5x + 5x2 + 10x2 + 10x3 + (10x3 + 10x4) + 5x4 * (1 + x) + x5(1 + x))(1 + x)
3.333 = (1 + 1x + 5x + 5x2 + 10x2 + 10x3 + 10x3 + 10x4 + (1 * 5x4 + x * 5x4) + x5(1 + x))(1 + x)
3.333 = (1 + 1x + 5x + 5x2 + 10x2 + 10x3 + 10x3 + 10x4 + (5x4 + 5x5) + x5(1 + x))(1 + x)
3.333 = (1 + 1x + 5x + 5x2 + 10x2 + 10x3 + 10x3 + 10x4 + 5x4 + 5x5 + (1 * x5 + x * x5))(1 + x)
3.333 = (1 + 1x + 5x + 5x2 + 10x2 + 10x3 + 10x3 + 10x4 + 5x4 + 5x5 + (1x5 + x6))(1 + x)

Combine like terms: 1x + 5x = 6x
3.333 = (1 + 6x + 5x2 + 10x2 + 10x3 + 10x3 + 10x4 + 5x4 + 5x5 + 1x5 + x6)(1 + x)

Combine like terms: 5x2 + 10x2 = 15x2
3.333 = (1 + 6x + 15x2 + 10x3 + 10x3 + 10x4 + 5x4 + 5x5 + 1x5 + x6)(1 + x)

Combine like terms: 10x3 + 10x3 = 20x3
3.333 = (1 + 6x + 15x2 + 20x3 + 10x4 + 5x4 + 5x5 + 1x5 + x6)(1 + x)

Combine like terms: 10x4 + 5x4 = 15x4
3.333 = (1 + 6x + 15x2 + 20x3 + 15x4 + 5x5 + 1x5 + x6)(1 + x)

Combine like terms: 5x5 + 1x5 = 6x5
3.333 = (1 + 6x + 15x2 + 20x3 + 15x4 + 6x5 + x6)(1 + x)

Multiply (1 + 6x + 15x2 + 20x3 + 15x4 + 6x5 + x6) * (1 + x)
3.333 = (1(1 + x) + 6x * (1 + x) + 15x2 * (1 + x) + 20x3 * (1 + x) + 15x4 * (1 + x) + 6x5 * (1 + x) + x6(1 + x))
3.333 = ((1 * 1 + x * 1) + 6x * (1 + x) + 15x2 * (1 + x) + 20x3 * (1 + x) + 15x4 * (1 + x) + 6x5 * (1 + x) + x6(1 + x))
3.333 = ((1 + 1x) + 6x * (1 + x) + 15x2 * (1 + x) + 20x3 * (1 + x) + 15x4 * (1 + x) + 6x5 * (1 + x) + x6(1 + x))
3.333 = (1 + 1x + (1 * 6x + x * 6x) + 15x2 * (1 + x) + 20x3 * (1 + x) + 15x4 * (1 + x) + 6x5 * (1 + x) + x6(1 + x))
3.333 = (1 + 1x + (6x + 6x2) + 15x2 * (1 + x) + 20x3 * (1 + x) + 15x4 * (1 + x) + 6x5 * (1 + x) + x6(1 + x))
3.333 = (1 + 1x + 6x + 6x2 + (1 * 15x2 + x * 15x2) + 20x3 * (1 + x) + 15x4 * (1 + x) + 6x5 * (1 + x) + x6(1 + x))
3.333 = (1 + 1x + 6x + 6x2 + (15x2 + 15x3) + 20x3 * (1 + x) + 15x4 * (1 + x) + 6x5 * (1 + x) + x6(1 + x))
3.333 = (1 + 1x + 6x + 6x2 + 15x2 + 15x3 + (1 * 20x3 + x * 20x3) + 15x4 * (1 + x) + 6x5 * (1 + x) + x6(1 + x))
3.333 = (1 + 1x + 6x + 6x2 + 15x2 + 15x3 + (20x3 + 20x4) + 15x4 * (1 + x) + 6x5 * (1 + x) + x6(1 + x))
3.333 = (1 + 1x + 6x + 6x2 + 15x2 + 15x3 + 20x3 + 20x4 + (1 * 15x4 + x * 15x4) + 6x5 * (1 + x) + x6(1 + x))
3.333 = (1 + 1x + 6x + 6x2 + 15x2 + 15x3 + 20x3 + 20x4 + (15x4 + 15x5) + 6x5 * (1 + x) + x6(1 + x))
3.333 = (1 + 1x + 6x + 6x2 + 15x2 + 15x3 + 20x3 + 20x4 + 15x4 + 15x5 + (1 * 6x5 + x * 6x5) + x6(1 + x))
3.333 = (1 + 1x + 6x + 6x2 + 15x2 + 15x3 + 20x3 + 20x4 + 15x4 + 15x5 + (6x5 + 6x6) + x6(1 + x))
3.333 = (1 + 1x + 6x + 6x2 + 15x2 + 15x3 + 20x3 + 20x4 + 15x4 + 15x5 + 6x5 + 6x6 + (1 * x6 + x * x6))
3.333 = (1 + 1x + 6x + 6x2 + 15x2 + 15x3 + 20x3 + 20x4 + 15x4 + 15x5 + 6x5 + 6x6 + (1x6 + x7))

Combine like terms: 1x + 6x = 7x
3.333 = (1 + 7x + 6x2 + 15x2 + 15x3 + 20x3 + 20x4 + 15x4 + 15x5 + 6x5 + 6x6 + 1x6 + x7)

Combine like terms: 6x2 + 15x2 = 21x2
3.333 = (1 + 7x + 21x2 + 15x3 + 20x3 + 20x4 + 15x4 + 15x5 + 6x5 + 6x6 + 1x6 + x7)

Combine like terms: 15x3 + 20x3 = 35x3
3.333 = (1 + 7x + 21x2 + 35x3 + 20x4 + 15x4 + 15x5 + 6x5 + 6x6 + 1x6 + x7)

Combine like terms: 20x4 + 15x4 = 35x4
3.333 = (1 + 7x + 21x2 + 35x3 + 35x4 + 15x5 + 6x5 + 6x6 + 1x6 + x7)

Combine like terms: 15x5 + 6x5 = 21x5
3.333 = (1 + 7x + 21x2 + 35x3 + 35x4 + 21x5 + 6x6 + 1x6 + x7)

Combine like terms: 6x6 + 1x6 = 7x6
3.333 = (1 + 7x + 21x2 + 35x3 + 35x4 + 21x5 + 7x6 + x7)

Solving
3.333 = 1 + 7x + 21x2 + 35x3 + 35x4 + 21x5 + 7x6 + x7

Solving for variable 'x'.

Combine like terms: 3.333 + -1 = 2.333
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 1 + 7x + 21x2 + 35x3 + 35x4 + 21x5 + 7x6 + x7 + -1 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7

Reorder the terms:
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 1 + -1 + 7x + -7x + 21x2 + -21x2 + 35x3 + -35x3 + 35x4 + -35x4 + 21x5 + -21x5 + 7x6 + -7x6 + x7 + -1x7

Combine like terms: 1 + -1 = 0
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 0 + 7x + -7x + 21x2 + -21x2 + 35x3 + -35x3 + 35x4 + -35x4 + 21x5 + -21x5 + 7x6 + -7x6 + x7 + -1x7
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 7x + -7x + 21x2 + -21x2 + 35x3 + -35x3 + 35x4 + -35x4 + 21x5 + -21x5 + 7x6 + -7x6 + x7 + -1x7

Combine like terms: 7x + -7x = 0
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 0 + 21x2 + -21x2 + 35x3 + -35x3 + 35x4 + -35x4 + 21x5 + -21x5 + 7x6 + -7x6 + x7 + -1x7
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 21x2 + -21x2 + 35x3 + -35x3 + 35x4 + -35x4 + 21x5 + -21x5 + 7x6 + -7x6 + x7 + -1x7

Combine like terms: 21x2 + -21x2 = 0
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 0 + 35x3 + -35x3 + 35x4 + -35x4 + 21x5 + -21x5 + 7x6 + -7x6 + x7 + -1x7
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 35x3 + -35x3 + 35x4 + -35x4 + 21x5 + -21x5 + 7x6 + -7x6 + x7 + -1x7

Combine like terms: 35x3 + -35x3 = 0
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 0 + 35x4 + -35x4 + 21x5 + -21x5 + 7x6 + -7x6 + x7 + -1x7
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 35x4 + -35x4 + 21x5 + -21x5 + 7x6 + -7x6 + x7 + -1x7

Combine like terms: 35x4 + -35x4 = 0
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 0 + 21x5 + -21x5 + 7x6 + -7x6 + x7 + -1x7
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 21x5 + -21x5 + 7x6 + -7x6 + x7 + -1x7

Combine like terms: 21x5 + -21x5 = 0
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 0 + 7x6 + -7x6 + x7 + -1x7
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 7x6 + -7x6 + x7 + -1x7

Combine like terms: 7x6 + -7x6 = 0
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 0 + x7 + -1x7
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = x7 + -1x7

Combine like terms: x7 + -1x7 = 0
2.333 + -7x + -21x2 + -35x3 + -35x4 + -21x5 + -7x6 + -1x7 = 0

The solution to this equation could not be determined.

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