Solve by factoring
3
x
2
−
2
x
−
9
=
−
8
Rearrange the terms
Rearrange all nonzero terms to the left side of the equation
3
x
2
−
2
x
−
9
+
8
=
0
3
x
2
−
2
x
−
9
+
8
=
0
Combine like terms
Combine like terms
3
x
2
−
2
x
−
1
=
0
3
x
2
−
2
x
−
1
=
0
Split the middle term
Split the middle term into two terms
3
x
2
−
3
x
+
x
−
1
=
0
3
x
2
−
3
x
+
x
−
1
=
0
Factorize
Factor the first two terms and the last two terms separately
3
x
(
x
−
1
)
+
(
x
−
1
)
=
0
3
x
(
x
−
1
)
+
(
x
−
1
)
=
0
Factor out
Factor out
(
x
−
1
)
(
3
x
+
1
)
=
0
(
x
−
1
)
(
3
x
+
1
)
=
0
Apply Zero Product Property
Apply Zero Product Property
x
−
1
=
0
or
3
x
+
1
=
0
x
−
1
=
0
or
3
x
+
1
=
0
More steps
Show more steps
x
−
1
=
0
Rearrange variables to the left side of the equation
x
=
1
3
x
+
1
=
0
Rearrange variables to the left side of the equation
3
x
=
−
1
Divide both sides of the equation by the coefficient of variable
x
=
−
3
1
Divide both sides of the equation by the coefficient of variable
x
=
−
3
1
x
=
1
or
x
=
−
3
1
Answer
x
=
1
or
x
=
−
3
1