What is the answer to 5/(z-4)-2/(z+4)=0 ?

The answer to 5/(z-4)-2/(z+4)=0 is z=-28/3

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5/(z-4)-2/(z+4)=0

\frac{5}{z - 4} - \frac{2}{z + 4} = 0

z = - \frac{28}{3}

Decimal Notation

z = - 9.33333 \dots

Solution steps

\frac{5}{z - 4} - \frac{2}{z + 4} = 0

Multiply by LCM

3 z + 28 = 0

Move

28

to the right side

3 z = - 28

Divide both sides by

3

z = - \frac{28}{3}

Verify Solutions

Find undefined (singularity) points:

z = 4, z = - 4

Combine undefined points with solutions:

z = - \frac{28}{3}

\frac{x + 1}{8} = \frac{6}{x - 1}

\frac{x ^{2} - x}{x - 1} = x

2 x + 1 = \frac{5}{( x + 2 )}

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

- 5 + \frac{1}{x} = - 6 x

What is the answer to 5/(z-4)-2/(z+4)=0 ?
The answer to 5/(z-4)-2/(z+4)=0 is z=-28/3
Solve for z: 5/(z-4)-2/(z+4)=0
The solution is z=-28/3