How to solve for a variable?

Question

The problem is z*8=z. it's the beginning of school and i'm having a total brain f**t. i thought you multiplied it by the reciprocal of something like that, but i can't seem to work it out. help!

Answer 1

z * 8 = z  divide both side by z

8 = 1       only possible answer is z = 0

Answer 2

Isolate the variable - i.e. move all terms with the variable to one side, move everything else to the other.  Then factor and solve:

8z = z

8z - z = 0

z(8 - 1) = 0

7z = 0

z = 0

Are you sure you typed it correctly?

Answer 3

I'm not sure if z*8 means "z times 8" or "z to the power of 8", so I'll solve for both cases.

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z*8 (z times 8) - rewrite as 8z:

8z = z

8z - z = z - z

7z = 0

7z / 7 = 0 / 7

z = 0

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z*8 (z to the power of 8)

z*8 = z

z*8 - z = 0

z(z*7 - 1) = 0

z = 0  or  (z*7 - 1) = 0

z*7 - 1 = 0

z*7 = 1

z = 1

So z = 0 or 1

Answer 4

z*8=z                           the question

z*8/8=z/8                     minus on both sides

z=z/8                           end result

hopefully that's what you wanted.

you need to know another number before you can truely identify what z is