What is the answer to (x^3)/(3x)=12 ?

The answer to (x^3)/(3x)=12 is x=6,x=-6

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(x^3)/(3x)=12

\frac{x ^{3}}{3 x} = 12

x = 6, x = - 6

Solution steps

\frac{x ^{3}}{3 x} = 12

Simplify

\frac{x ^{3}}{3 x} : \frac{x ^{2}}{3}

\frac{x ^{2}}{3} = 12

Multiply both sides by

3

x^{2} = 36

Solve

x^{2} = 36 : x = 6, x = - 6

x = 6, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = - 6

t, \frac{r}{t} = d + 10

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

\frac{1}{x} + \frac{1}{x + 1} = \frac{5}{6}

5 x + \frac{1}{x} = - 6

\frac{1}{x - 5} = 0