h(t)=2(t+6)(t-2)

Solution for h(t)=2(t+6)(t-2) equation:

Simplifying
h(t) = 2(t + 6)(t + -2)

Multiply h * t
ht = 2(t + 6)(t + -2)

Reorder the terms:
ht = 2(6 + t)(t + -2)

Reorder the terms:
ht = 2(6 + t)(-2 + t)

Multiply (6 + t) * (-2 + t)
ht = 2(6(-2 + t) + t(-2 + t))
ht = 2((-2 * 6 + t * 6) + t(-2 + t))
ht = 2((-12 + 6t) + t(-2 + t))
ht = 2(-12 + 6t + (-2 * t + t * t))
ht = 2(-12 + 6t + (-2t + t2))

Combine like terms: 6t + -2t = 4t
ht = 2(-12 + 4t + t2)
ht = (-12 * 2 + 4t * 2 + t2 * 2)
ht = (-24 + 8t + 2t2)

Solving
ht = -24 + 8t + 2t2

Solving for variable 'h'.

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

Divide each side by 't'.
h = -24t-1 + 8 + 2t

Simplifying
h = -24t-1 + 8 + 2t

Reorder the terms:
h = 8 + -24t-1 + 2t