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

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


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

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

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

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

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

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

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

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

Multiply (3 + x) * (3 + x)
2 + 3x + x2 = (3(3 + x) + x(3 + x))(-1 + x)
2 + 3x + x2 = ((3 * 3 + x * 3) + x(3 + x))(-1 + x)
2 + 3x + x2 = ((9 + 3x) + x(3 + x))(-1 + x)
2 + 3x + x2 = (9 + 3x + (3 * x + x * x))(-1 + x)
2 + 3x + x2 = (9 + 3x + (3x + x2))(-1 + x)

Combine like terms: 3x + 3x = 6x
2 + 3x + x2 = (9 + 6x + x2)(-1 + x)

Multiply (9 + 6x + x2) * (-1 + x)
2 + 3x + x2 = (9(-1 + x) + 6x * (-1 + x) + x2(-1 + x))
2 + 3x + x2 = ((-1 * 9 + x * 9) + 6x * (-1 + x) + x2(-1 + x))
2 + 3x + x2 = ((-9 + 9x) + 6x * (-1 + x) + x2(-1 + x))
2 + 3x + x2 = (-9 + 9x + (-1 * 6x + x * 6x) + x2(-1 + x))
2 + 3x + x2 = (-9 + 9x + (-6x + 6x2) + x2(-1 + x))
2 + 3x + x2 = (-9 + 9x + -6x + 6x2 + (-1 * x2 + x * x2))
2 + 3x + x2 = (-9 + 9x + -6x + 6x2 + (-1x2 + x3))

Combine like terms: 9x + -6x = 3x
2 + 3x + x2 = (-9 + 3x + 6x2 + -1x2 + x3)

Combine like terms: 6x2 + -1x2 = 5x2
2 + 3x + x2 = (-9 + 3x + 5x2 + x3)

Add '-3x' to each side of the equation.
2 + 3x + -3x + x2 = -9 + 3x + 5x2 + -3x + x3

Combine like terms: 3x + -3x = 0
2 + 0 + x2 = -9 + 3x + 5x2 + -3x + x3
2 + x2 = -9 + 3x + 5x2 + -3x + x3

Reorder the terms:
2 + x2 = -9 + 3x + -3x + 5x2 + x3

Combine like terms: 3x + -3x = 0
2 + x2 = -9 + 0 + 5x2 + x3
2 + x2 = -9 + 5x2 + x3

Solving
2 + x2 = -9 + 5x2 + x3

Solving for variable 'x'.

Reorder the terms:
2 + 9 + x2 + -5x2 + -1x3 = -9 + 5x2 + x3 + 9 + -5x2 + -1x3

Combine like terms: 2 + 9 = 11
11 + x2 + -5x2 + -1x3 = -9 + 5x2 + x3 + 9 + -5x2 + -1x3

Combine like terms: x2 + -5x2 = -4x2
11 + -4x2 + -1x3 = -9 + 5x2 + x3 + 9 + -5x2 + -1x3

Reorder the terms:
11 + -4x2 + -1x3 = -9 + 9 + 5x2 + -5x2 + x3 + -1x3

Combine like terms: -9 + 9 = 0
11 + -4x2 + -1x3 = 0 + 5x2 + -5x2 + x3 + -1x3
11 + -4x2 + -1x3 = 5x2 + -5x2 + x3 + -1x3

Combine like terms: 5x2 + -5x2 = 0
11 + -4x2 + -1x3 = 0 + x3 + -1x3
11 + -4x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
11 + -4x2 + -1x3 = 0

The solution to this equation could not be determined.

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