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 like terms and moving all terms to one side.
We get the equation
6x2−21x−31=0
Using the quadratic equation, we find two values of x. we have
x=√1185+2112x=−√1185+2112
Obviously, the first term of x is bigger, so taking that, we find our final answer as
x=√1185+2112
Thanks! :)