# Unknown Value of "x" in Quadratic Equation 3x^{2} - 2x - 8 = 0

## Work with Steps for 3x^{2} - 2x - 8 = 0

The below work with steps may helpful for grade school students to understand how to find unknown or root values of x for quadratic equation 3x^{2} - 2x - 8 = 0 or to solve the worksheet problems.
step 1 Address the input parameters and values

Quadratic Equation : 3x^{2} - 2x - 8 = 0

step 2 Substitute a , b and c values in below formula

x = - b ± √b² - 4ac2a

=-(-2) ± √(-2^{2} - 4 (3) (-8))2(3)

=2± √4 - 4 (3)(-8)6

=2± √4 + 966

=2± √1006

step 3 Solve the above expression for minus & plus values

x_{1} = 2 + √1006

= 2 + 10/6

x_{2} = 2 - √1006

= 2 - 10/6

step 4 By simplifying the above expressions for x_{1} & x_{2}

x_{1} = 12/6

x_{1} = 2

x_{2} = -8/6

x_{2} = -1.3333

x_{1} = 2 & x_{2} = -1.3333 are the roots for equation 3x^{2} - 2x - 8 = 0