y=a(x-2)(x+4)

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


Simplifying
y = a(x + -2)(x + 4)

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

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

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

Combine like terms: -2x + 4x = 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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