y=k(x-a)(x-b)+c

Solution for y=k(x-a)(x-b)+c equation:

Simplifying
y = k(x + -1a)(x + -1b) + c

Reorder the terms:
y = k(-1a + x)(x + -1b) + c

Reorder the terms:
y = k(-1a + x)(-1b + x) + c

Multiply (-1a + x) * (-1b + x)
y = k(-1a * (-1b + x) + x(-1b + x)) + c
y = k((-1b * -1a + x * -1a) + x(-1b + x)) + c
y = k((1ab + -1ax) + x(-1b + x)) + c
y = k(1ab + -1ax + (-1b * x + x * x)) + c
y = k(1ab + -1ax + (-1bx + x2)) + c
y = k(1ab + -1ax + -1bx + x2) + c
y = (1ab * k + -1ax * k + -1bx * k + x2 * k) + c
y = (1abk + -1akx + -1bkx + kx2) + c

Reorder the terms:
y = 1abk + -1akx + -1bkx + c + kx2

Solving
y = 1abk + -1akx + -1bkx + c + kx2

Solving for variable 'y'.

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

Simplifying
y = 1abk + -1akx + -1bkx + c + kx2