Answer:
Move
32
to the left side of the equation by subtracting it from both sides.
n
2
+
4
n
−
32
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
1
,
b
=
4
, and
c
=
−
32
into the quadratic formula and solve for
n
.
−
4
±
√
4
2
−
4
⋅
(
1
⋅
−
32
)
2
⋅
1
Simplify.
Step-by-step explanation: