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