16x^2+106x+80=0 factorize
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Answered by
1
x
2
(
x
+
5
)
−
16
(
x
+
5
)
=
0
Factor the polynomial by factoring out the greatest common factor,
x
+
5
.
(
x
+
5
)
(
x
2
−
16
)
=
0
Rewrite
16
as
4
2
.
(
x
+
5
)
(
x
2
−
4
2
)
=
0
Factor.
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(
x
+
5
)
(
x
+
4
)
(
x
−
4
)
=
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
+
5
=
0
x
+
4
=
0
x
−
4
=
0
Set the first factor equal to
0
and solve.
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x
=
−
5
Set the next factor equal to
0
and solve.
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x
=
−
4
Set the next factor equal to
0
and solve.
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x
=
4
The final solution is all the values that make
(
x
+
5
)
(
x
+
4
)
(
x
−
4
)
=
0
true.
x
=
−
5
,
−
4
,
4
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