What is the answer to 5+z/(z+2)=1 ?

The answer to 5+z/(z+2)=1 is z=-8/5

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5+z/(z+2)=1

5 + \frac{z}{z + 2} = 1

z = - \frac{8}{5}

Decimal Notation

z = - 1.6

Solution steps

5 + \frac{z}{z + 2} = 1

Move

5

to the right side

\frac{z}{z + 2} = - 4

Multiply both sides by

z + 2

z = - 4 (z + 2)

Expand

- 4 (z + 2) : - 4 z - 8

z = - 4 z - 8

Move

4 z

to the left side

5 z = - 8

Divide both sides by

5

z = - \frac{8}{5}

Verify Solutions

Find undefined (singularity) points:

z = - 2

Combine undefined points with solutions:

z = - \frac{8}{5}

\frac{x + 2}{x - 2} = \frac{3}{5}

\frac{40}{x + 1} = 0

x + 7 - \frac{5}{x - 3} = 5

0.14 = \frac{6.4}{R} - 0.2

x, y = \frac{x}{x - 1}