What is the answer to 3+(10)/z = 1/2 ?

The answer to 3+(10)/z = 1/2 is z=-4

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3+(10)/z = 1/2

3 + \frac{10}{z} = \frac{1}{2}

z = - 4

Solution steps

3 + \frac{10}{z} = \frac{1}{2}

Multiply by LCM

6 z + 20 = z

Move

20

to the right side

6 z = z - 20

Move

z

to the left side

5 z = - 20

Divide both sides by

5

z = - 4

Verify Solutions

Find undefined (singularity) points:

z = 0

Combine undefined points with solutions:

z = - 4

\frac{x}{12} = \frac{3}{x}

0 = \frac{- 0.75 s + 2.5}{( s - 3 ) - 1}

1000 = \frac{1200}{( 1 + r ) ^{5}}

\frac{20}{x + 7} = \frac{4}{5}

\frac{5}{1 + x} a = 2