Show all work to solve 3x^2 − 5x − 2 = 0

x=2

Step-by-step explanation:

Step 1: Factor left side of equation.

(3x+1)(x−2)=0

Step 2: Set factors equal to 0.

3x+1=0 or x−2=0

The solution of quadratic equation is

Solution:

Given, equation is

We have to solve the above given quadratic equation.

Now, take the given quadratic equation  

Splitting “-5x” as -6x + x

Take “3x” as common term from first two terms

Take (x - 2) as common

Equating to zero we get,

Hence, the roots the quadratic equation are 2 and