What is the answer to 3/(e(4n-3)n)=2 ?

The answer to 3/(e(4n-3)n)=2 is n=(6e+sqrt(36e^2+96e))/(16e),n=(6e-sqrt(36e^2+96e))/(16e)

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3/(e(4n-3)n)=2

\frac{3}{e ( 4 n - 3 ) n} = 2

n = \frac{6 e + 36 e ^{2} + 96 e}{16 e}, n = \frac{6 e - 36 e ^{2} + 96 e}{16 e}

Decimal Notation

n = 0.90280 \dots, n = - 0.15280 \dots

Solution steps

\frac{3}{e ( 4 n - 3 ) n} = 2

Multiply both sides by

e (4 n - 3) n

3 = 2 e (4 n - 3) n

Solve

3 = 2 e (4 n - 3) n : n = \frac{6 e + 36 e ^{2} + 96 e}{16 e}, n = \frac{6 e - 36 e ^{2} + 96 e}{16 e}

n = \frac{6 e + 36 e ^{2} + 96 e}{16 e}, n = \frac{6 e - 36 e ^{2} + 96 e}{16 e}

Verify Solutions

Find undefined (singularity) points:

n = \frac{3}{4}, n = 0

Combine undefined points with solutions:

n = \frac{6 e + 36 e ^{2} + 96 e}{16 e}, n = \frac{6 e - 36 e ^{2} + 96 e}{16 e}

\frac{1}{8 - ( 1 + 3 x ) ^{3}} = 0

\frac{2}{7} = \frac{6 x}{4 x + 17}

\frac{1}{x + 3} = 5

\frac{( 1.2 x + 3 )}{( 3.2 x + 6 )} = \frac{9}{8}

10 = \frac{2 m}{s ^{2}}

What is the answer to 3/(e(4n-3)n)=2 ?
The answer to 3/(e(4n-3)n)=2 is n=(6e+sqrt(36e^2+96e))/(16e),n=(6e-sqrt(36e^2+96e))/(16e)