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.

LiIIiam0216 Aug 3, 2024

#1**+1 **

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! :)

NotThatSmart Aug 3, 2024