What is the answer to 2/m+(3m)/2 =7 ?

The answer to 2/m+(3m)/2 =7 is m=(7+sqrt(37))/3 ,m=(7-sqrt(37))/3

Solve for m: 2/m+(3m)/2 =7

The solution is m=(7+sqrt(37))/3 ,m=(7-sqrt(37))/3

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\frac{2}{m} + \frac{3 m}{2} = 7

m = \frac{7 + 37}{3}, m = \frac{7 - 37}{3}

Decimal Notation

m = 4.36092 \dots, m = 0.30574 \dots

Solution steps

\frac{2}{m} + \frac{3 m}{2} = 7

Multiply by LCM

4 + 3 m^{2} = 14 m

Solve

4 + 3 m^{2} = 14 m : m = \frac{7 + 37}{3}, m = \frac{7 - 37}{3}

m = \frac{7 + 37}{3}, m = \frac{7 - 37}{3}

Verify Solutions

Find undefined (singularity) points:

m = 0

Combine undefined points with solutions:

m = \frac{7 + 37}{3}, m = \frac{7 - 37}{3}

\frac{3 x - 1}{x + 4} - 6 = \frac{2 x + 15}{x + 4}

\frac{6}{x} = \frac{10}{7}

\frac{15}{x} - \frac{11 x + 5}{x ^{2}} = - 1

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

\frac{4}{x - 1} + x = 7

What is the answer to 2/m+(3m)/2 =7 ?
The answer to 2/m+(3m)/2 =7 is m=(7+sqrt(37))/3 ,m=(7-sqrt(37))/3
Solve for m: 2/m+(3m)/2 =7
The solution is m=(7+sqrt(37))/3 ,m=(7-sqrt(37))/3