What is the answer to 150=(180(n-2))/n ?

The answer to 150=(180(n-2))/n is n=12

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150=(180(n-2))/n

150 = \frac{180 ( n - 2 )}{n}

n = 12

Solution steps

150 = \frac{180 ( n - 2 )}{n}

Multiply both sides by

n

150 n = 180 (n - 2)

Expand

180 (n - 2) : 180 n - 360

150 n = 180 n - 360

Move

180 n

to the left side

- 30 n = - 360

Divide both sides by

- 30

n = 12

Verify Solutions

Find undefined (singularity) points:

n = 0

Combine undefined points with solutions:

n = 12

120 = \frac{298}{x ^{2}} - 25.7

\frac{4 x ^{3} - 1}{2 x ^{2} + x - 1} = 0

3 + (\frac{1}{x} - 2) = 30

0.1 = 1 - (1 - \frac{1}{x})^{25}

\frac{2}{x - 1} = \frac{4}{x + 2}