y=a(x-p)(x-q)

Solution for y=a(x-p)(x-q) equation:

Simplifying
y = a(x + -1p)(x + -1q)

Reorder the terms:
y = a(-1p + x)(x + -1q)

Reorder the terms:
y = a(-1p + x)(-1q + x)

Multiply (-1p + x) * (-1q + x)
y = a(-1p * (-1q + x) + x(-1q + x))
y = a((-1q * -1p + x * -1p) + x(-1q + x))
y = a((1pq + -1px) + x(-1q + x))
y = a(1pq + -1px + (-1q * x + x * x))
y = a(1pq + -1px + (-1qx + x2))
y = a(1pq + -1px + -1qx + x2)
y = (1pq * a + -1px * a + -1qx * a + x2 * a)
y = (1apq + -1apx + -1aqx + ax2)

Solving
y = 1apq + -1apx + -1aqx + ax2

Solving for variable 'y'.

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

Simplifying
y = 1apq + -1apx + -1aqx + ax2