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

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


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

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

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

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

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x))(3 + x) = (x + 2)(x)
((3 * 2 + x * 2) + x(3 + x))(3 + x) = (x + 2)(x)
((6 + 2x) + x(3 + x))(3 + x) = (x + 2)(x)
(6 + 2x + (3 * x + x * x))(3 + x) = (x + 2)(x)
(6 + 2x + (3x + x2))(3 + x) = (x + 2)(x)

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2)(3 + x) = (x + 2)(x)

Multiply (6 + 5x + x2) * (3 + x)
(6(3 + x) + 5x * (3 + x) + x2(3 + x)) = (x + 2)(x)
((3 * 6 + x * 6) + 5x * (3 + x) + x2(3 + x)) = (x + 2)(x)
((18 + 6x) + 5x * (3 + x) + x2(3 + x)) = (x + 2)(x)
(18 + 6x + (3 * 5x + x * 5x) + x2(3 + x)) = (x + 2)(x)
(18 + 6x + (15x + 5x2) + x2(3 + x)) = (x + 2)(x)
(18 + 6x + 15x + 5x2 + (3 * x2 + x * x2)) = (x + 2)(x)
(18 + 6x + 15x + 5x2 + (3x2 + x3)) = (x + 2)(x)

Combine like terms: 6x + 15x = 21x
(18 + 21x + 5x2 + 3x2 + x3) = (x + 2)(x)

Combine like terms: 5x2 + 3x2 = 8x2
(18 + 21x + 8x2 + x3) = (x + 2)(x)

Reorder the terms:
18 + 21x + 8x2 + x3 = (2 + x)(x)

Reorder the terms for easier multiplication:
18 + 21x + 8x2 + x3 = x(2 + x)
18 + 21x + 8x2 + x3 = (2 * x + x * x)
18 + 21x + 8x2 + x3 = (2x + x2)

Solving
18 + 21x + 8x2 + x3 = 2x + x2

Solving for variable 'x'.

Reorder the terms:
18 + 21x + -2x + 8x2 + -1x2 + x3 = 2x + x2 + -2x + -1x2

Combine like terms: 21x + -2x = 19x
18 + 19x + 8x2 + -1x2 + x3 = 2x + x2 + -2x + -1x2

Combine like terms: 8x2 + -1x2 = 7x2
18 + 19x + 7x2 + x3 = 2x + x2 + -2x + -1x2

Reorder the terms:
18 + 19x + 7x2 + x3 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
18 + 19x + 7x2 + x3 = 0 + x2 + -1x2
18 + 19x + 7x2 + x3 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 + 19x + 7x2 + x3 = 0

The solution to this equation could not be determined.

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