y=k(x-6)(x+9)

Solution for y=k(x-6)(x+9) equation:

Simplifying
y = k(x + -6)(x + 9)

Reorder the terms:
y = k(-6 + x)(x + 9)

Reorder the terms:
y = k(-6 + x)(9 + x)

Multiply (-6 + x) * (9 + x)
y = k(-6(9 + x) + x(9 + x))
y = k((9 * -6 + x * -6) + x(9 + x))
y = k((-54 + -6x) + x(9 + x))
y = k(-54 + -6x + (9 * x + x * x))
y = k(-54 + -6x + (9x + x2))

Combine like terms: -6x + 9x = 3x
y = k(-54 + 3x + x2)
y = (-54 * k + 3x * k + x2 * k)
y = (-54k + 3kx + kx2)

Solving
y = -54k + 3kx + kx2

Solving for variable 'y'.

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

Simplifying
y = -54k + 3kx + kx2