y=k(x+2)(x-6)

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

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

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

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

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

Combine like terms: 2x + -6x = -4x
y = k(-12 + -4x + x2)
y = (-12 * k + -4x * k + x2 * k)
y = (-12k + -4kx + kx2)

Solving
y = -12k + -4kx + kx2

Solving for variable 'y'.

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

Simplifying
y = -12k + -4kx + kx2