Y=2(x+2)(x+6)

Solution for Y=2(x+2)(x+6) equation:

Simplifying
Y = 2(x + 2)(x + 6)

Reorder the terms:
Y = 2(2 + x)(x + 6)

Reorder the terms:
Y = 2(2 + x)(6 + x)

Multiply (2 + x) * (6 + x)
Y = 2(2(6 + x) + x(6 + x))
Y = 2((6 * 2 + x * 2) + x(6 + x))
Y = 2((12 + 2x) + x(6 + x))
Y = 2(12 + 2x + (6 * x + x * x))
Y = 2(12 + 2x + (6x + x2))

Combine like terms: 2x + 6x = 8x
Y = 2(12 + 8x + x2)
Y = (12 * 2 + 8x * 2 + x2 * 2)
Y = (24 + 16x + 2x2)

Solving
Y = 24 + 16x + 2x2

Solving for variable 'Y'.

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

Simplifying
Y = 24 + 16x + 2x2