Someone offers you a bet that gives you a 25% chance of winning $97 and a 75% chance of losing $40. If you are a risk-neutral investor, the odds of winning would need to change to what number in order for you to be completely indifferent toward taking the bet?

Answer: 0.292

Please show me the steps

Note from professor: Risk-neutrality means that you will be indifferent if the expected payoff from the bet is zero. Set up a math equation to solve for the probability of winning that makes the expected payoff equal to zero.