What is the answer to 3= z/(-z+14) ?

The answer to 3= z/(-z+14) is z= 21/2

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3= z/(-z+14)

3 = \frac{z}{- z + 14}

z = \frac{21}{2}

Decimal Notation

z = 10.5

Solution steps

3 = \frac{z}{- z + 14}

Multiply both sides by

- z + 14

3 (- z + 14) = z

Expand

3 (- z + 14) : - 3 z + 42

- 3 z + 42 = z

Move

42

to the right side

- 3 z = z - 42

Move

z

to the left side

- 4 z = - 42

Divide both sides by

- 4

z = \frac{21}{2}

Verify Solutions

Find undefined (singularity) points:

z = 14

Combine undefined points with solutions:

z = \frac{21}{2}

f, \frac{f}{4 f - 10 p} = - 4 p - 6

\frac{x}{x ^{2} - 2} = 0

3 = \frac{z}{- z + 10}

\frac{n ^{2} + 1}{- 2 n + 8} = - 13

\frac{26}{57} = \frac{849}{5 z}