Find all values of $x$ such that $x^2 - 5x + 4 = -x^2 - 25x - 14$. If you find more than one value, then list your solutions, separated by commas.
First, let's move all terms to one side and combine all like terms.
We get
\(x^{2}+10x+9=0\)
We can put this into factored form to find x. We get
\((x+9)(x+1)=0\)
From this, we know that
\(x=-1\\ x=-9\)
So our final answer is -1 and -9.
Thanks! :)