y=a(x-2)(x-6)

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


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

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

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

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

Combine like terms: -2x + -6x = -8x
y = a(12 + -8x + x2)
y = (12 * a + -8x * a + x2 * a)
y = (12a + -8ax + ax2)

Solving
y = 12a + -8ax + ax2

Solving for variable 'y'.

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

Simplifying
y = 12a + -8ax + ax2

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