h(t)=(-16x+45)(t+48)

Solution for h(t)=(-16x+45)(t+48) equation:

Simplifying
h(t) = (-16x + 45)(t + 48)

Multiply h * t
ht = (-16x + 45)(t + 48)

Reorder the terms:
ht = (45 + -16x)(t + 48)

Reorder the terms:
ht = (45 + -16x)(48 + t)

Multiply (45 + -16x) * (48 + t)
ht = (45(48 + t) + -16x * (48 + t))
ht = ((48 * 45 + t * 45) + -16x * (48 + t))
ht = ((2160 + 45t) + -16x * (48 + t))
ht = (2160 + 45t + (48 * -16x + t * -16x))

Reorder the terms:
ht = (2160 + 45t + (-16tx + -768x))
ht = (2160 + 45t + (-16tx + -768x))
ht = (2160 + 45t + -16tx + -768x)

Solving
ht = 2160 + 45t + -16tx + -768x

Solving for variable 'h'.

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

Divide each side by 't'.
h = 2160t-1 + 45 + -16x + -768t-1x

Simplifying
h = 2160t-1 + 45 + -16x + -768t-1x

Reorder the terms:
h = 45 + 2160t-1 + -768t-1x + -16x