Satisfied

adjective
1.
content:
a satisfied look.
2.
completely paid, as a bill.
3.
convinced, as in an argument:
Their opponents were finally satisfied.
verb (used with object), satisfied, satisfying.
1.
to fulfill the desires, expectations, needs, or demands of (a person, the mind, etc.); give full contentment to:
The hearty meal satisfied him.
2.
to put an end to (a desire, want, need, etc.) by sufficient or ample provision:
The hearty meal satisfied his hunger.
3.
to give assurance to; convince:
to satisfy oneself by investigation.
4.
to answer sufficiently, as an objection.
5.
to solve or dispel, as a doubt.
6.
to discharge fully (a debt, obligation, etc.).
7.
to make reparation to or for:
to satisfy an offended person; to satisfy a wrong.
8.
to pay (a creditor).
9.
Mathematics.

to fulfill the requirements or conditions of:
to satisfy a theorem.
(of a value of an unknown) to change (an equation) into an identity when substituted for the unknown: x = 2 satisfies 3 x = 6.

verb (used without object), satisfied, satisfying.
10.
to give satisfaction.
verb (mainly transitive) -fies, -fying, -fied
1.
(also intransitive) to fulfil the desires or needs of (a person)
2.
to provide amply for (a need or desire)
3.
to relieve of doubt; convince
4.
to dispel (a doubt)
5.
to make reparation to or for
6.
to discharge or pay off (a debt) to (a creditor)
7.
to fulfil the requirements of; comply with: you must satisfy the terms of your lease
8.
(maths, logic) to fulfil the conditions of (a theorem, assumption, etc); to yield a truth by substitution of the given value: x = 3 satisfies x² – 4x + 3 = 0