It seems as though it is impossible to wield any real power as a politician or in an election without major funding from someone or something (these things are usually major corporations.) Because of this, hundreds of protesters had a sit-in around the US Congress in mid-April, which they called "Democracy Spring." During this protest, about 400 people were arrested in their attempt to pursue fairer elections. However, this problem extends past a few hundred people protesting how elections occur, because the money can impact numerous policy decisions for a politician that would affect many of the following generations.
The Supreme Court case Citizens United versus The Federal Election Commission was a turning point in the increase of money's influence in politics. Five out of the nine justices voted in favor of Citizens United, and this judicial decision opened the floodgates for billions of dollars to flow into politics, with around $1.1 billion spent by corporations in the 2014 election cycle, since it allowed for unrestricted and unlimited spending by independent groups. This paved the way for Super PACs (Political Action Committees), which are independent organizations that contribute vast amounts of money towards a candidate, but their contributions can't be direct or coordinated, even though they typically are. These Super PACs are usually controlled by some corporation that tries to further its own agenda by contributing large amounts to the candidate that would best help their interests.
The possibly unlimited spending through the Super PACs vastly impacts elections, their results and the policy positions of the candidate. For example, if a candidate wanted to get a natural gas company to spend a fairly large sum of money on commercials and advertisements in their favor, they might adopt a pro-fracking policy position, even if they didn't personally believe in that policy, in order to appeal to that corporation as the best candidate for their agenda. This causes two main problems: the lack of voice for the average citizen and the increased power of certain elected officials. The primary problem is that elected officials would spend so much time and energy trying to tend to the demands of their contributors that they wouldn't be able to fully listen to the requests of their constituents, which effectively eliminates their voice and replaces it with that of major corporations. The main reason that this problem can't be easily solved is the second issue, which is that some elected officials gain too much power. For example, a candidate could continue to disregard their constituents' ideals while appealing to those of major corporations, so that they would have enough money to quell opposition through a well-funded and well-run campaign that no other candidate would be able to contend with, since the candidate can essentially control their perception in the media. The issue of vast amounts of money in politics is a relatively new one, but it doesn't seem like one that will be quick to disappear, especially with growing disdain towards the current system.