Y=a(x-6)(x+12)

Solution for Y=a(x-6)(x+12) equation:

Simplifying
Y = a(x + -6)(x + 12)

Reorder the terms:
Y = a(-6 + x)(x + 12)

Reorder the terms:
Y = a(-6 + x)(12 + x)

Multiply (-6 + x) * (12 + x)
Y = a(-6(12 + x) + x(12 + x))
Y = a((12 * -6 + x * -6) + x(12 + x))
Y = a((-72 + -6x) + x(12 + x))
Y = a(-72 + -6x + (12 * x + x * x))
Y = a(-72 + -6x + (12x + x2))

Combine like terms: -6x + 12x = 6x
Y = a(-72 + 6x + x2)
Y = (-72 * a + 6x * a + x2 * a)
Y = (-72a + 6ax + ax2)

Solving
Y = -72a + 6ax + ax2

Solving for variable 'Y'.

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

Simplifying
Y = -72a + 6ax + ax2