How do you factor 2x squared-x equals 3?

Answer 1

-1

Answer 2

First, you need to set one side equal to 0.

2x2-x=3

2x2-x-3=0 ;Subtract 3 from both sides

Now you're ready to factor.

• The factors of 2 are 1 and 2.
• The factors of 3 are 1 and 3.
• The 3 is negative so you must either have a -1 or a -3, but not both.

You must find a combination of those factors to equal -1 in the middle.

1 X -3 = -3

2 X 1 = 2

Added give you -1. Therefore the factors of that polynomial are (2x-3)(x+1).

You can take it further one more step and set that equal to zero and solve for what x can be:

(2x-3)(x+1)=0

2x-3=0 and x+1=0 ;Set each equal to 0

2x=3 and x=-1 ;Add three to each side in the first equation and subtract 1 on the second equation

x=3/2 and x=-1 ;Divide by 2 on the second equation