What is the answer to (z+(10))/((z))=6 ?

The answer to (z+(10))/((z))=6 is z=2

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(z+(10))/((z))=6

\frac{z + ( 10 )}{( z )} = 6

z = 2

Solution steps

\frac{z + ( 10 )}{( z )} = 6

Simplify

\frac{z + ( 10 )}{z} : \frac{z + 10}{z}

\frac{z + 10}{z} = 6

Multiply both sides by

z

z + 10 = 6 z

Move

10

to the right side

z = 6 z - 10

Move

6 z

to the left side

- 5 z = - 10

Divide both sides by

- 5

z = 2

Verify Solutions

Find undefined (singularity) points:

z = 0

Combine undefined points with solutions:

z = 2

\frac{x}{12} = \frac{4}{x}

d, m = \frac{g}{d} + 3

\frac{x - 6}{x - 4} = \frac{- 5}{x}

\frac{( n + 2 ) !}{( n - 1 ) !} = 30 n

\frac{( 2 x + 1 ) ( x - 1 )}{( x + 1 )} = 0