Subtract
5
x
from both sides of the equation.
6
x
2
−
4
−
5
x
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
6
,
b
=
−
5
, and
c
=
−
4
into the quadratic formula and solve for
x
.
5
±
√
(
−
5
)
2
−
4
⋅
(
6
⋅
−
4
)
2
⋅
6
Simplify.
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x
=
5
±
11
12
The final answer is the combination of both solutions.
x
=
4
3
,
−
1
2
