Factor the quadratic expression completely.

3x^2 - 20x - 7=

The final solution is all the values that make

(3 x+1) (x-7) = 0 true. x = - 13,7

Step-by-step explanation:

Factor - 20 out of - 20 x. 3 x 2-20 x-7=0

Rewrite - 20 as 1 plus - 213 x 2 + (1-21) x-7=0

Apply the distributive property. 3 x 2+1 x-21 x-7=0

Multiply x by 1.3 x 2 + x-21 x-7=0

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(3 x 2 + x) - 21 x-7=0

Factor out the greatest common factor (GCF) from each group.

x (3 x+1) - 7 (3 x+1) = 0

Factor the polynomial by factoring out the greatest common factor,

3 x + 1. (3 x+1) (x-7) = 0

If any individual factor on the left side of the equation is equal to

0, the entire expression will be equal to

0.3 x+1=0 x-7=0

Set the first factor equal to

0 and solve.

x=-13

Set the next factor equal to

0

and solve.

Set the next factor equal to

0. x-7=0

Add

7 to both sides of the equation.

x=7