h(t)=-16(t-8)2+156

Solution for h(t)=-16(t-8)2+156 equation:

Simplifying
h(t) = -16(t + -8) * 2 + 156

Multiply h * t
ht = -16(t + -8) * 2 + 156

Reorder the terms:
ht = -16(-8 + t) * 2 + 156

Reorder the terms for easier multiplication:
ht = -16 * 2(-8 + t) + 156

Multiply -16 * 2
ht = -32(-8 + t) + 156
ht = (-8 * -32 + t * -32) + 156
ht = (256 + -32t) + 156

Reorder the terms:
ht = 256 + 156 + -32t

Combine like terms: 256 + 156 = 412
ht = 412 + -32t

Solving
ht = 412 + -32t

Solving for variable 'h'.

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

Divide each side by 't'.
h = 412t-1 + -32

Simplifying
h = 412t-1 + -32

Reorder the terms:
h = -32 + 412t-1