Answer:
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
