Y=(2X+1)(X+4)(X+3)

Solution for Y=(2X+1)(X+4)(X+3) equation:

Simplifying
Y = (2X + 1)(X + 4)(X + 3)

Reorder the terms:
Y = (1 + 2X)(X + 4)(X + 3)

Reorder the terms:
Y = (1 + 2X)(4 + X)(X + 3)

Reorder the terms:
Y = (1 + 2X)(4 + X)(3 + X)

Multiply (1 + 2X) * (4 + X)
Y = (1(4 + X) + 2X * (4 + X))(3 + X)
Y = ((4 * 1 + X * 1) + 2X * (4 + X))(3 + X)
Y = ((4 + 1X) + 2X * (4 + X))(3 + X)
Y = (4 + 1X + (4 * 2X + X * 2X))(3 + X)
Y = (4 + 1X + (8X + 2X2))(3 + X)

Combine like terms: 1X + 8X = 9X
Y = (4 + 9X + 2X2)(3 + X)

Multiply (4 + 9X + 2X2) * (3 + X)
Y = (4(3 + X) + 9X * (3 + X) + 2X2 * (3 + X))
Y = ((3 * 4 + X * 4) + 9X * (3 + X) + 2X2 * (3 + X))
Y = ((12 + 4X) + 9X * (3 + X) + 2X2 * (3 + X))
Y = (12 + 4X + (3 * 9X + X * 9X) + 2X2 * (3 + X))
Y = (12 + 4X + (27X + 9X2) + 2X2 * (3 + X))
Y = (12 + 4X + 27X + 9X2 + (3 * 2X2 + X * 2X2))
Y = (12 + 4X + 27X + 9X2 + (6X2 + 2X3))

Combine like terms: 4X + 27X = 31X
Y = (12 + 31X + 9X2 + 6X2 + 2X3)

Combine like terms: 9X2 + 6X2 = 15X2
Y = (12 + 31X + 15X2 + 2X3)

Solving
Y = 12 + 31X + 15X2 + 2X3

Solving for variable 'Y'.

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

Simplifying
Y = 12 + 31X + 15X2 + 2X3