Answer:The final solution is all the values that make
x
(
x
−
16
)
=
0
true.
explanation:
Factor x out of
x
^2
−
16
x
.
Factor x out of x
2
.
x
⋅
x
−
16
x
=
0
Factor x out of
−
16
x
.
x
⋅
x
+
x
⋅
−
16
=
0
Factor x out of x
⋅
x
+
x
⋅
−
16
.
x
(
x
−
16
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to 0
x
=
0
x
−
16
=
0
Set the first factor equal to 0
.
x
=
0
Set the next factor equal to 0
and solve.
Set the next factor equal to 0
x
−
16
=
0
Add 16 to both sides of the equation.
x
=
16
The final solution is all the values that make
x
(
x
−
16
)
=
0
true.
x
=
0
,
16
