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

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

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

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

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

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

Combine like terms: 6x + -2x = 4x
Y = a(-12 + 4x + x2)
Y = (-12 * a + 4x * a + x2 * a)
Y = (-12a + 4ax + ax2)

Solving
Y = -12a + 4ax + ax2

Solving for variable 'Y'.

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

Simplifying
Y = -12a + 4ax + ax2