x
3
+
6
x
2
=
55
x
Rearrange the terms
Rearrange all nonzero terms to the left side of the equation
x
3
+
6
x
2
−
55
x
=
0
x
3
+
6
x
2
−
55
x
=
0
Factor out
Factor out
x
(
x
2
+
6
x
−
55
)
=
0
x
(
x
2
+
6
x
−
55
)
=
0
Factorize
Factor the expression
x
(
x
−
5
)
(
x
+
11
)
=
0
x
(
x
−
5
)
(
x
+
11
)
=
0
Apply Zero Product Property
Apply Zero Product Property
x
=
0
or
x
−
5
=
0
or
x
+
11
=
0
x
−
5
=
0
or
x
+
11
=
0
More steps
Show more steps
x
−
5
=
0
Rearrange variables to the left side of the equation
x
=
5
x
+
11
=
0
Rearrange variables to the left side of the equation
x
=
−
11
x
=
0
or
x
=
5
or
x
=
−
11
Answer
x
=
0
or
x
=
5
or
x
=
−
11