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.

Hi6942O Jun 16, 2024

#2**+1 **

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! :)

NotThatSmart Jun 16, 2024