Solve by factoring
6
m
2
+
12
m
−
55
=
−
7
Rearrange the terms
Rearrange all nonzero terms to the left side of the equation
6
m
2
+
12
m
−
55
+
7
=
0
6
m
2
+
12
m
−
55
+
7
=
0
Combine like terms
Combine like terms
6
m
2
+
12
m
−
48
=
0
6
m
2
+
12
m
−
48
=
0
Split the middle term
Split the middle term into two terms
6
m
2
−
12
m
+
24
m
−
48
=
0
6
m
2
−
12
m
+
24
m
−
48
=
0
Factorize
Factor the first two terms and the last two terms separately
6
m
(
m
−
2
)
+
24
(
m
−
2
)
=
0
6
m
(
m
−
2
)
+
24
(
m
−
2
)
=
0
Factor out
Factor out
6
(
m
−
2
)
(
m
+
4
)
=
0
6
(
m
−
2
)
(
m
+
4
)
=
0
Apply Zero Product Property
Apply Zero Product Property
m
−
2
=
0
or
m
+
4
=
0
m
+
4
=
0
or
m
−
2
=
0
More steps
Show more steps
m
+
4
=
0
Rearrange variables to the left side of the equation
m
=
−
4
m
−
2
=
0
Rearrange variables to the left side of the equation
m
=
2
m
=
2
or
m
=
−
4
Answer
m
=
2
or
m
=
−
4