Question

The equation (x+2)(2x+3)=0 has two solutions. one is an integer, the other is a fraction

Answer 1

Given the following euqation:

`\text{ (x + 3)(2x + 3)}`

Let's determine the integer solution, we'll use (x + 3).

`\text{ x + 2 = 0}`
`\text{ x + 2 - 2 = 0 - 2}`
`\text{ x = -2}`

Therefore, the integer solution is -2.

Next, let's determine the fraction solution, we'll use (2x + 3).

`\text{ 2x + 3 = 0}`
`\text{ 2x + 3 - 3 = 0 - 3}`
`\text{ 2x = - 3}`
`\text{ }\frac{\text{2x}}{2}\text{ = }\frac{\text{-3}}{2}`
`\text{ x = -}(3)/(2)`

Therefore, the fraction solution is -3/2.

In Summary,

The integer solution is : -2

The fraction solution is : -3/2