Answer:
x=0.61933
Explanation:
Let’s solve your equation step by step.
Step 1: Multiply both sides by x.
x
2
=
−
8
x
3
−
6
x
+
6
x
2
−
(
−
8
x
3
−
6
x
+
6
)
=
−
8
x
3
−
6
x
+
6
−
(
−
8
x
3
−
6
x
+
6
)
(Subtract -8x^3-6x+6 from both sides)
8
x
3
+
x
2
+
6
x
−
6
=
0
(Use cubic formula)
x
=
0.61933
Check answers. (Plug them in to make sure they work.)