+661 Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$
+1786 First, let's combine all like terms and moving all terms to one side.
We get the equation
\(6x^{2}-21x-31=0\)
Using the quadratic equation, we find two values of x. we have
\(x=\frac{\sqrt{1185}+21}{12}\\ x=\frac{-\sqrt{1185}+21}{12}\)
Obviously, the first term of x is bigger, so taking that, we find our final answer as
\(x=\frac{\sqrt{1185}+21}{12}\)
Thanks! :)
