Question

Solve -12 = z ÷ 3 for z.

z =

Answer 1

would it be -36

Answer 2

\(\color{#0cbb34}{\text{Originally Posted by}}\) @bemine11
would it be -36
\(\color{#0cbb34}{\text{End of Quote}}\)
Yes

Answer 3

thanks

Answer 4

\(\color{#0cbb34}{\text{Originally Posted by}}\) @bemine11
thanks
\(\color{#0cbb34}{\text{End of Quote}}\)
np

Answer 5

have a good day guys

Answer 6

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

z/12-(3/z)=0

3
Simplify —
z

z 3
—— - — = 0
12 z

z
Simplify ——
12

z 3
—— - — = 0
12 z

Find the Least Common Multiple

The left denominator is : 12

The right denominator is : z

Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 2 0 2
3 1 0 1
Product of all
Prime Factors 12 1 12
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
z 0 1 1
Least Common Multiple:
12z

Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
z • z - (3 • 12) z2 - 36
———————————————— = ———————
12z 12z

Factoring: z2 - 36

Factoring: z2 - 36

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 36 is the square of 6
Check : z2 is the square of z1

Factorization is : (z + 6) • (z - 6)


(z + 6) • (z - 6)
——————— = 0
12z

When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

(z+6)•(z-6)
——————————— • 12z = 0 • 12z
12z
Now, on the left hand side, the 12z cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
(z+6) • (z-6) = 0

A product of several terms equals zero.

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

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solve : z+6 = 0

Subtract 6 from both sides of the equation :
z = -6

Solve : z-6 = 0

Add 6 to both sides of the equation :
z = 6

z = 6
z = -6

Answer 7

Supie it is not 36 because it wants to know what z is

Answer 8

\(\color{#0cbb34}{\text{Originally Posted by}}\) @xxDeppressionxx
Supie it is not 36 because it wants to know what z is
\(\color{#0cbb34}{\text{End of Quote}}\)
Yes it wants to know what z is
and ik that it's not 36

Answer 9

And Z is 6

Answer 10

No it's not.

Answer 11

What is it then can you explain what it is?

Answer 12

The answer is -36.

Answer 13

Yes

Answer 14

You said that it was 6
\(\color{#0cbb34}{\text{Originally Posted by}}\) @xxDeppressionxx
And Z is 6
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 15

I know i said it was 6 but i forgot to add the 3 and the negative

Answer 16

Ok then I was right-

Answer 17

Yes