What is the answer to 3/(4*m+2m)=22 ?

The answer to 3/(4*m+2m)=22 is m= 1/44

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3/(4*m+2m)=22

\frac{3}{4 \cdot m + 2 m} = 22

m = \frac{1}{44}

Decimal Notation

m = 0.02272 \dots

Solution steps

\frac{3}{4 m + 2 m} = 22

Simplify

\frac{3}{4 m + 2 m} : \frac{1}{2 m}

\frac{1}{2 m} = 22

Multiply both sides by

m

\frac{1}{2} = 22 m

Switch sides

22 m = \frac{1}{2}

Divide both sides by

22

m = \frac{1}{44}

Verify Solutions

Find undefined (singularity) points:

m = 0

Combine undefined points with solutions:

m = \frac{1}{44}

\frac{1}{4 \cdot m - 7} = 2

\frac{( x - 5 )}{x} - \frac{( x - 7 )}{( x - 1 )} = \frac{5}{x}

y = \frac{1}{( 4 - y ^{2} )}

b, \frac{1}{d ^{2}} = \frac{1}{b ^{2}} + \frac{1}{c ^{2}}

a, a - c = 2 \frac{( a + b )}{a}