Question

(x - 3) (3x + 7) = 0 Find the values of x.

Answer 1

(x-3)(3x+7)=0
x-3=0 or 3x+7=0

1. x-3=0
x₁=3

2. 3x+7=0
3x=-7
x₂=-7/3 = -2(1/3)

Answer 2

The values of x is,
`3` or
`(-7)/(3)`.

Explanation:

`(x - 3) (3x + 7) = 0`

Using Zero Factor principle:

Since the factors are in the factorize form and their product is equal to zero.

so, equate each factor equals to zero and solve for the values of x.

then,
`(x-3)=0` ⇒
`x=3`

and
`(3x+7)=0` ⇒
`x=(-7)/(3)`

Therefore, the values of x is,
`3` or
`(-7)/(3)`.