3
2
−
5
=
2
3x^{2}-5x=2
3x2−5x=2
Factor
1
Move terms to the left side
3
2
−
5
=
2
3x^{2}-5x=2
3x2−5x=2
3
2
−
5
−
2
=
0
3x^{2}-5x-2=0
3x2−5x−2=0
2
Use the sum-product pattern
3
2
−
5
−
2
=
0
3x^{2}{\color{#c92786}{-5x}}-2=0
3x2−5x−2=0
3
2
+
−
6
−
2
=
0
3x^{2}+{\color{#c92786}{x}}{\color{#c92786}{-6x}}-2=0
3x2+x−6x−2=0
3
Common factor from the two pairs
(
3
2
+
)
+
(
−
6
−
2
)
=
0
(3x^{2}+x)+(-6x-2)=0
(3x2+x)+(−6x−2)=0
(
3
+
1
)
−
2
(
3
+
1
)
=
0
