Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$
First, let's combine all our like terms and move all the terms to oneside. We get
6x2−21x−31=0
Now, we use the quadratic equation. We get that
x=−(−21)±√−21)2−4⋅6(−31)2⋅6
Simplifying furher. We get 2 values for x We get
x=√1185+2112x=−√1185+2112
Clearly, the first value of x is greater in this case, so we have
x=√1185+2112 as our final anwer.
Thanks! :)