g(-1)forg(t)=(t^2-1)(t+4)

Solution for g(-1)forg(t)=(t^2-1)(t+4) equation:

Simplifying
g(-1) * forg(t) = (t2 + -1)(t + 4)

Reorder the terms for easier multiplication:
-1g * fgor * t = (t2 + -1)(t + 4)

Multiply g * fgor
-1fg2or * t = (t2 + -1)(t + 4)

Multiply fg2or * t
-1fg2ort = (t2 + -1)(t + 4)

Reorder the terms:
-1fg2ort = (-1 + t2)(t + 4)

Reorder the terms:
-1fg2ort = (-1 + t2)(4 + t)

Multiply (-1 + t2) * (4 + t)
-1fg2ort = (-1(4 + t) + t2(4 + t))
-1fg2ort = ((4 * -1 + t * -1) + t2(4 + t))
-1fg2ort = ((-4 + -1t) + t2(4 + t))
-1fg2ort = (-4 + -1t + (4 * t2 + t * t2))
-1fg2ort = (-4 + -1t + (4t2 + t3))
-1fg2ort = (-4 + -1t + 4t2 + t3)

Solving
-1fg2ort = -4 + -1t + 4t2 + t3

Solving for variable 'f'.

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

Divide each side by '-1g2ort'.
f = 4g-2o-1r-1t-1 + g-2o-1r-1 + -4g-2o-1r-1t + -1g-2o-1r-1t2

Simplifying
f = 4g-2o-1r-1t-1 + g-2o-1r-1 + -4g-2o-1r-1t + -1g-2o-1r-1t2

Reorder the terms:
f = g-2o-1r-1 + 4g-2o-1r-1t-1 + -4g-2o-1r-1t + -1g-2o-1r-1t2