basic math

#1
we cbet flop oop 6bb into 8bb. If we bet the turn 50% of the time, how often do we need to x/call or x/raise the turn so we prevent our opp to profitably peel w pure air OTF if we assume he'll bet 14bb into 20bb on the turn?

-6bb*(0.5) - 20bb(x) + 14(1-0.5-x) = 12%

#2
opp opens 3b in SB we 3bet to 10bb in BB he 4bets to 20bb we jam 100bb total.

how often does our 5bet bluff need to succeed if our hand has 33% eq?

200*33% = 66bb -> we get back when he calls
we lose 24bb when bluff fails cos we risk only 90bb (10 already in the pot)
we win 20+10 if bluff succeeds.

30bb(x) - 24bb(1-x) = 0, so x = 44,4%