What is the answer to 6/(z+4)=12 ?

The answer to 6/(z+4)=12 is z=-7/2

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6/(z+4)=12

\frac{6}{z + 4} = 12

z = - \frac{7}{2}

Decimal Notation

z = - 3.5

Solution steps

\frac{6}{z + 4} = 12

Multiply both sides by

z + 4

6 = 12 (z + 4)

Switch sides

12 (z + 4) = 6

Divide both sides by

12

z + 4 = \frac{1}{2}

Move

4

to the right side

z = - \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

z = - 4

Combine undefined points with solutions:

z = - \frac{7}{2}

x, \frac{3 w + 2 y}{x} = 4

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

\frac{x + 6}{x} = 12

y, x = \frac{y - 1}{y - 2}

x - 30 = \frac{2}{x} + \frac{8}{x + 1}