+677 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.
+1365 First off, let's move all terms to one side and combine all like terms.
We get \(2x^2+20x+18=0\). Simplifying, we get \(x^2+10x+9 = 0\).
Now, let's note that this quadratic can be factored! Putting it into factored form, we get \((x+1)(x+9)=0\).
This gets us the values of \(x = -1, -9\).
Check your answers and make sure they work. These do if we plug them back in!
Thanks! :)
+1365 First off, let's move all terms to one side and combine all like terms.
We get \(2x^2+20x+18=0\). Simplifying, we get \(x^2+10x+9 = 0\).
Now, let's note that this quadratic can be factored! Putting it into factored form, we get \((x+1)(x+9)=0\).
This gets us the values of \(x = -1, -9\).
Check your answers and make sure they work. These do if we plug them back in!
Thanks! :)
