Question

What are the solutions to the equation (x - 2)(x + 5) = 0?

OX=-2-5
O
x = -2.5
1= 2,-5
x= 2.5​

Answer 1

`x - 2 = 0`

`x = -5`

x = 2, –5

Explanation:

What are the solutions to the equation (x – 2)(x + 5) = 0?

x = –2, –5

x = –2, 5

O x = 2, –5

x = 2, 5

`(x - 2) (x+ 5 ) = 0`

`( x - 2 ) = 0`

`( x + 5 ) = 0`

Add
`2` to both sides

`x - 2 = 0 - 2 = 0`

`x - 2 + 2 = 0 + 2`

Simplify the expression

`x - 2 + 2 = 0 + 2`

`x = 2`

Subtract
`5` form both sides

`x + 5 = 0`

`x + 5 - 5 = 0 - 5`

Simplify the expression

`x + 5 - 5 = 0 - 5`

`x = -5`

`x - 2 = 0`

`x = -5`