Y=(x+2)(x+3)(x+4)

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Solution for Y=(x+2)(x+3)(x+4) equation:


Simplifying
Y = (x + 2)(x + 3)(x + 4)

Reorder the terms:
Y = (2 + x)(x + 3)(x + 4)

Reorder the terms:
Y = (2 + x)(3 + x)(x + 4)

Reorder the terms:
Y = (2 + x)(3 + x)(4 + x)

Multiply (2 + x) * (3 + x)
Y = (2(3 + x) + x(3 + x))(4 + x)
Y = ((3 * 2 + x * 2) + x(3 + x))(4 + x)
Y = ((6 + 2x) + x(3 + x))(4 + x)
Y = (6 + 2x + (3 * x + x * x))(4 + x)
Y = (6 + 2x + (3x + x2))(4 + x)

Combine like terms: 2x + 3x = 5x
Y = (6 + 5x + x2)(4 + x)

Multiply (6 + 5x + x2) * (4 + x)
Y = (6(4 + x) + 5x * (4 + x) + x2(4 + x))
Y = ((4 * 6 + x * 6) + 5x * (4 + x) + x2(4 + x))
Y = ((24 + 6x) + 5x * (4 + x) + x2(4 + x))
Y = (24 + 6x + (4 * 5x + x * 5x) + x2(4 + x))
Y = (24 + 6x + (20x + 5x2) + x2(4 + x))
Y = (24 + 6x + 20x + 5x2 + (4 * x2 + x * x2))
Y = (24 + 6x + 20x + 5x2 + (4x2 + x3))

Combine like terms: 6x + 20x = 26x
Y = (24 + 26x + 5x2 + 4x2 + x3)

Combine like terms: 5x2 + 4x2 = 9x2
Y = (24 + 26x + 9x2 + x3)

Solving
Y = 24 + 26x + 9x2 + x3

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Simplifying
Y = 24 + 26x + 9x2 + x3

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