Question

What is the answer to 2x(x-2)=x+3?

Answer 1

2$x^{2}$-4x=x+3

2$x^{2}$-4x-x-3=0

2$x^{2}$-5x-3=0

2x        1

1x        -3

(2x-3)(x+1)

x=3/2 and x= -1

Answer 2

2
x
2
−
5
x
−
3
=
0
Step 3: Factor left side of equation.
(
2
x
+
1
)
(
x
−
3
)
=
0
Step 4: Set factors equal to 0.
2
x
+
1
=
0
or
x
−
3
=
0
x
=
−
1
2
or
x
=
3
Answer:
x
=
−
1
2
or
x
=
3