Y=a(x-4)(x-(-2))

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Solution for Y=a(x-4)(x-(-2)) equation: 


Simplifying
Y = a(x + -4)(x + -1(-2))

Reorder the terms:
Y = a(-4 + x)(x + -1(-2))

Multiply -1 * -2
Y = a(-4 + x)(x + 2)

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

Multiply (-4 + x) * (2 + x)
Y = a(-4(2 + x) + x(2 + x))
Y = a((2 * -4 + x * -4) + x(2 + x))
Y = a((-8 + -4x) + x(2 + x))
Y = a(-8 + -4x + (2 * x + x * x))
Y = a(-8 + -4x + (2x + x2))

Combine like terms: -4x + 2x = -2x
Y = a(-8 + -2x + x2)
Y = (-8 * a + -2x * a + x2 * a)
Y = (-8a + -2ax + ax2)

Solving
Y = -8a + -2ax + ax2

Solving for variable 'Y'.

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

Simplifying
Y = -8a + -2ax + ax2

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