Find all solutions to (x + 5)(2x — 3) = 0.

x= 5, -1 1/2

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to  0 , the entire expression will be equal to  0 .

x − 5 = 0

2 x + 3 = 0

Set the first factor equal to  0  and solve.

x = 5

Set the next factor equal to  0  and solve.

x = − 3 2  

The final solution is all the values that make  

( x − 5 ) ( 2 x+ 3 ) = 0  - true.

x = 5 , − 3 2

The result can be shown in multiple forms.

Exact Form:

x = 5 , − 3 2

Decimal Form:

x = 5 , − 1.5

Mixed Number Form:

x = 5 , − 1  1/2  

where's the diagrams?