+0

Algebra

0
138
2

Given (14x + 22)/(x + 2) = -3x - 1, compute the sum of all the possible values of x. Express your answer as a fraction.

Dec 12, 2021

#1
-1

I don't think that there are any answers for x so the answer would be 0.

Dec 12, 2021
#2
+358
+3

Hey there, Guest!

Step 1: Multiply both sides by x+2.

$$14x+22=−3x^2−7x−2$$

$$14x+22−(−3x^2−7x−2)=−3x^2−7x−2−(−3x^2−7x−2)$$

$$3x^2+21x+24=0$$

$$x=\frac{−b±√b2−4ac}{2a}$$

$$x=\frac{-7}{2}+\frac{1}{2}\sqrt{17}$$