(4z+2)(4+z)=0 (If there is more than one solution , separate them with commas.) z= square

Question

Answer 1

To solve the equation

, we need to find the values of

that make the equation true.The equation is a product of two factors:

and

. For the product to be equal to zero, at least one of the factors must be equal to zero.Let's consider the first factor,

. To find the value of

that makes this factor equal to zero, we can set it equal to zero and solve for

:

Subtracting 2 from both sides:

Dividing both sides by 4:

Now let's consider the second factor,

. To find the value of

that makes this factor equal to zero, we can set it equal to zero and solve for

:

Subtracting 4 from both sides:

Therefore, the solutions to the equation

are

and

.

Question