+2651 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.
+1804 First, let's move all terms to one side and combine all like terms. We get the equation
\(x^{2}+10x+9=0\)
Now, notice that we can easily factor the quadratic equation. We get
\((x+9)(x+1)=0\)
This gives us the values for x of
\(x=-1\\ x=-9\)
Thus, our answer is -1, -9.
Thanks! :)
