Question

What are the solutions to the quadratic equation below in factored form?

(2x - 1)(3x + 4) = 0
Ox= 1/12, X
Ox=
1
21
X =
34
0x = -1/², x=-1
Ox= = 1/², x = -1/3
2

Answer 1

• (2x-13)(3x+4)=0

So

• 2x-13=0
• 2x=13
• x=13/2

And

• 3x+4=0
• 3x=-4
• x=-4/3

Answer 2

x =
`(1)/(2)` , x = -
`(4)/(3)`

Explanation:

(2x - 1)(3x + 4) = 0

equate each factor to zero and solve for x

2x - 1 = 0 ( add 1 to both sides )

2x = 1 ( divide both sides by 2 )

x =
`(1)/(2)`

and

3x + 4 = 0 ( subtract 4 from both sides )

3x = - 4 ( divide both sides by 3 )

x = -
`(4)/(3)`