Question

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

Answer 1

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

$x=6$

$x=-8$

Answer 2

Answer:

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

Step-by-step 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.