Question

What are the solutions to the equation (x – 6)(x + 8) = 0?

Answer 1

The solution of the equation
`(x -6)(x + 8) = 0` is 6 and -8.

Explanation:

Given : The equation
`(x-6)(x + 8) = 0`

We have to find the solution to the given equation
`(x -6)(x + 8) = 0`

Consider the given equation
`(x -6)(x + 8) = 0`

Apply zero product rule,
`a\cdot b=0 \Rightarrow a=0 \ or \ b=0`

Thus,
`(x -6)(x + 8) = 0` gives,

`(x -6)=0` and
`(x + 8) = 0`

Simplify, we have,

`x=6` and
`x=-8`

Thus, The solution of the equation
`(x -6)(x + 8) = 0` is 6 and -8.

Answer 2

we know that

When a product of two or more terms equals zero, then at least one of the terms must be zero

we have

`(x-6)(x+8)=0`

We shall solve each term separately

First solution

`(x-6)=0`

Adds
`6` both sides

`(x-6)+6=0+6`

`x=6`

Second solution

`(x+8)=0`

Subtract
`8` both sides

`(x+8)-8=0-8`

`x=-8`

therefore

the answer is

The solutions are

`x=6`

`x=-8`