h(t)=-16(t-6)(t+4)

Solution for h(t)=-16(t-6)(t+4) equation:

Simplifying
h(t) = -16(t + -6)(t + 4)

Multiply h * t
ht = -16(t + -6)(t + 4)

Reorder the terms:
ht = -16(-6 + t)(t + 4)

Reorder the terms:
ht = -16(-6 + t)(4 + t)

Multiply (-6 + t) * (4 + t)
ht = -16(-6(4 + t) + t(4 + t))
ht = -16((4 * -6 + t * -6) + t(4 + t))
ht = -16((-24 + -6t) + t(4 + t))
ht = -16(-24 + -6t + (4 * t + t * t))
ht = -16(-24 + -6t + (4t + t2))

Combine like terms: -6t + 4t = -2t
ht = -16(-24 + -2t + t2)
ht = (-24 * -16 + -2t * -16 + t2 * -16)
ht = (384 + 32t + -16t2)

Solving
ht = 384 + 32t + -16t2

Solving for variable 'h'.

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

Divide each side by 't'.
h = 384t-1 + 32 + -16t

Simplifying
h = 384t-1 + 32 + -16t

Reorder the terms:
h = 32 + 384t-1 + -16t