(x+1)(x+1)=(x+2)(x+2)(x+3)(x+3)

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Solution for (x+1)(x+1)=(x+2)(x+2)(x+3)(x+3) equation: 


Simplifying
(x + 1)(x + 1) = (x + 2)(x + 2)(x + 3)(x + 3)

Reorder the terms:
(1 + x)(x + 1) = (x + 2)(x + 2)(x + 3)(x + 3)

Reorder the terms:
(1 + x)(1 + x) = (x + 2)(x + 2)(x + 3)(x + 3)

Multiply (1 + x) * (1 + x)
(1(1 + x) + x(1 + x)) = (x + 2)(x + 2)(x + 3)(x + 3)
((1 * 1 + x * 1) + x(1 + x)) = (x + 2)(x + 2)(x + 3)(x + 3)
((1 + 1x) + x(1 + x)) = (x + 2)(x + 2)(x + 3)(x + 3)
(1 + 1x + (1 * x + x * x)) = (x + 2)(x + 2)(x + 3)(x + 3)
(1 + 1x + (1x + x2)) = (x + 2)(x + 2)(x + 3)(x + 3)

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

Reorder the terms:
1 + 2x + x2 = (2 + x)(x + 2)(x + 3)(x + 3)

Reorder the terms:
1 + 2x + x2 = (2 + x)(2 + x)(x + 3)(x + 3)

Reorder the terms:
1 + 2x + x2 = (2 + x)(2 + x)(3 + x)(x + 3)

Reorder the terms:
1 + 2x + x2 = (2 + x)(2 + x)(3 + x)(3 + x)

Multiply (2 + x) * (2 + x)
1 + 2x + x2 = (2(2 + x) + x(2 + x))(3 + x)(3 + x)
1 + 2x + x2 = ((2 * 2 + x * 2) + x(2 + x))(3 + x)(3 + x)
1 + 2x + x2 = ((4 + 2x) + x(2 + x))(3 + x)(3 + x)
1 + 2x + x2 = (4 + 2x + (2 * x + x * x))(3 + x)(3 + x)
1 + 2x + x2 = (4 + 2x + (2x + x2))(3 + x)(3 + x)

Combine like terms: 2x + 2x = 4x
1 + 2x + x2 = (4 + 4x + x2)(3 + x)(3 + x)

Multiply (4 + 4x + x2) * (3 + x)
1 + 2x + x2 = (4(3 + x) + 4x * (3 + x) + x2(3 + x))(3 + x)
1 + 2x + x2 = ((3 * 4 + x * 4) + 4x * (3 + x) + x2(3 + x))(3 + x)
1 + 2x + x2 = ((12 + 4x) + 4x * (3 + x) + x2(3 + x))(3 + x)
1 + 2x + x2 = (12 + 4x + (3 * 4x + x * 4x) + x2(3 + x))(3 + x)
1 + 2x + x2 = (12 + 4x + (12x + 4x2) + x2(3 + x))(3 + x)
1 + 2x + x2 = (12 + 4x + 12x + 4x2 + (3 * x2 + x * x2))(3 + x)
1 + 2x + x2 = (12 + 4x + 12x + 4x2 + (3x2 + x3))(3 + x)

Combine like terms: 4x + 12x = 16x
1 + 2x + x2 = (12 + 16x + 4x2 + 3x2 + x3)(3 + x)

Combine like terms: 4x2 + 3x2 = 7x2
1 + 2x + x2 = (12 + 16x + 7x2 + x3)(3 + x)

Multiply (12 + 16x + 7x2 + x3) * (3 + x)
1 + 2x + x2 = (12(3 + x) + 16x * (3 + x) + 7x2 * (3 + x) + x3(3 + x))
1 + 2x + x2 = ((3 * 12 + x * 12) + 16x * (3 + x) + 7x2 * (3 + x) + x3(3 + x))
1 + 2x + x2 = ((36 + 12x) + 16x * (3 + x) + 7x2 * (3 + x) + x3(3 + x))
1 + 2x + x2 = (36 + 12x + (3 * 16x + x * 16x) + 7x2 * (3 + x) + x3(3 + x))
1 + 2x + x2 = (36 + 12x + (48x + 16x2) + 7x2 * (3 + x) + x3(3 + x))
1 + 2x + x2 = (36 + 12x + 48x + 16x2 + (3 * 7x2 + x * 7x2) + x3(3 + x))
1 + 2x + x2 = (36 + 12x + 48x + 16x2 + (21x2 + 7x3) + x3(3 + x))
1 + 2x + x2 = (36 + 12x + 48x + 16x2 + 21x2 + 7x3 + (3 * x3 + x * x3))
1 + 2x + x2 = (36 + 12x + 48x + 16x2 + 21x2 + 7x3 + (3x3 + x4))

Combine like terms: 12x + 48x = 60x
1 + 2x + x2 = (36 + 60x + 16x2 + 21x2 + 7x3 + 3x3 + x4)

Combine like terms: 16x2 + 21x2 = 37x2
1 + 2x + x2 = (36 + 60x + 37x2 + 7x3 + 3x3 + x4)

Combine like terms: 7x3 + 3x3 = 10x3
1 + 2x + x2 = (36 + 60x + 37x2 + 10x3 + x4)

Solving
1 + 2x + x2 = 36 + 60x + 37x2 + 10x3 + x4

Solving for variable 'x'.

Reorder the terms:
1 + -36 + 2x + -60x + x2 + -37x2 + -10x3 + -1x4 = 36 + 60x + 37x2 + 10x3 + x4 + -36 + -60x + -37x2 + -10x3 + -1x4

Combine like terms: 1 + -36 = -35
-35 + 2x + -60x + x2 + -37x2 + -10x3 + -1x4 = 36 + 60x + 37x2 + 10x3 + x4 + -36 + -60x + -37x2 + -10x3 + -1x4

Combine like terms: 2x + -60x = -58x
-35 + -58x + x2 + -37x2 + -10x3 + -1x4 = 36 + 60x + 37x2 + 10x3 + x4 + -36 + -60x + -37x2 + -10x3 + -1x4

Combine like terms: x2 + -37x2 = -36x2
-35 + -58x + -36x2 + -10x3 + -1x4 = 36 + 60x + 37x2 + 10x3 + x4 + -36 + -60x + -37x2 + -10x3 + -1x4

Reorder the terms:
-35 + -58x + -36x2 + -10x3 + -1x4 = 36 + -36 + 60x + -60x + 37x2 + -37x2 + 10x3 + -10x3 + x4 + -1x4

Combine like terms: 36 + -36 = 0
-35 + -58x + -36x2 + -10x3 + -1x4 = 0 + 60x + -60x + 37x2 + -37x2 + 10x3 + -10x3 + x4 + -1x4
-35 + -58x + -36x2 + -10x3 + -1x4 = 60x + -60x + 37x2 + -37x2 + 10x3 + -10x3 + x4 + -1x4

Combine like terms: 60x + -60x = 0
-35 + -58x + -36x2 + -10x3 + -1x4 = 0 + 37x2 + -37x2 + 10x3 + -10x3 + x4 + -1x4
-35 + -58x + -36x2 + -10x3 + -1x4 = 37x2 + -37x2 + 10x3 + -10x3 + x4 + -1x4

Combine like terms: 37x2 + -37x2 = 0
-35 + -58x + -36x2 + -10x3 + -1x4 = 0 + 10x3 + -10x3 + x4 + -1x4
-35 + -58x + -36x2 + -10x3 + -1x4 = 10x3 + -10x3 + x4 + -1x4

Combine like terms: 10x3 + -10x3 = 0
-35 + -58x + -36x2 + -10x3 + -1x4 = 0 + x4 + -1x4
-35 + -58x + -36x2 + -10x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-35 + -58x + -36x2 + -10x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(35 + 58x + 36x2 + 10x3 + x4) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(35 + 58x + 36x2 + 10x3 + x4)' equal to zero and attempt to solve:

Simplifying
35 + 58x + 36x2 + 10x3 + x4 = 0

Solving
35 + 58x + 36x2 + 10x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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