Given (14x + 22)/(x + 2) = -3x - 1, compute the sum of all the possible values of x. Express your answer as a fraction.
+373 Hey there, Guest!
Step 1: Multiply both sides by x+2.
\(14x+22=−3x^2−7x−2\)
\(14x+22−(−3x^2−7x−2)=−3x^2−7x−2−(−3x^2−7x−2)\)
\(3x^2+21x+24=0\)
Quadratic Formula:
\(x=\frac{−b±√b2−4ac}{2a}\)
\(x=\frac{-7}{2}+\frac{1}{2}\sqrt{17}\)
And that's the answer.
Hope this helped! :)
