F(x)=(t-1)(t+3)

Solution for F(x)=(t-1)(t+3) equation:

Simplifying
F(x) = (t + -1)(t + 3)

Multiply F * x
xF = (t + -1)(t + 3)

Reorder the terms:
xF = (-1 + t)(t + 3)

Reorder the terms:
xF = (-1 + t)(3 + t)

Multiply (-1 + t) * (3 + t)
xF = (-1(3 + t) + t(3 + t))
xF = ((3 * -1 + t * -1) + t(3 + t))
xF = ((-3 + -1t) + t(3 + t))
xF = (-3 + -1t + (3 * t + t * t))
xF = (-3 + -1t + (3t + t2))

Combine like terms: -1t + 3t = 2t
xF = (-3 + 2t + t2)

Solving
xF = -3 + 2t + t2

Solving for variable 'x'.

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

Divide each side by 'F'.
x = -3F-1 + 2tF-1 + t2F-1

Simplifying
x = -3F-1 + 2tF-1 + t2F-1