What is the answer to z+(64)/(z+4)=12 ?

The answer to z+(64)/(z+4)=12 is z=4

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z+(64)/(z+4)=12

z + \frac{64}{z + 4} = 12

z = 4

Solution steps

z + \frac{64}{z + 4} = 12

Multiply both sides by

z + 4

z (z + 4) + 64 = 12 (z + 4)

Solve

z (z + 4) + 64 = 12 (z + 4) : z = 4

z = 4

Verify Solutions

Find undefined (singularity) points:

z = - 4

Combine undefined points with solutions:

z = 4

\frac{3}{2 - z} = z + 7

\frac{3}{x} = \frac{13}{5 x} + 2

\frac{2 x}{x + 6} = \frac{2 x - 6}{x}

\frac{x + 1}{x} + \frac{2}{x - 3} = 1

\frac{2}{x + 1} - \frac{x}{x - 1} = 3