What is the answer to 1/2 (x+4)= 1/(3x) ?

The answer to 1/2 (x+4)= 1/(3x) is x=(-6+sqrt(42))/3 ,x=-(6+sqrt(42))/3

Solve for x: 1/2 (x+4)= 1/(3x)

The solution is x=(-6+sqrt(42))/3 ,x=-(6+sqrt(42))/3

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\frac{1}{2} (x + 4) = \frac{1}{3 x}

x = \frac{- 6 + 42}{3}, x = - \frac{6 + 42}{3}

Decimal Notation

x = 0.16024 \dots, x = - 4.16024 \dots

Solution steps

\frac{1}{2} (x + 4) = \frac{1}{3 x}

Multiply both sides by

x

\frac{1}{2} (x + 4) x = \frac{1}{3}

Solve

\frac{1}{2} (x + 4) x = \frac{1}{3} : x = \frac{- 6 + 42}{3}, x = - \frac{6 + 42}{3}

x = \frac{- 6 + 42}{3}, x = - \frac{6 + 42}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{- 6 + 42}{3}, x = - \frac{6 + 42}{3}

\frac{x}{3 x - 9} - 4 = \frac{1}{x - 3}

\frac{- 45}{r} = 5

\frac{6 x}{3 x - 5} = \frac{2 x + 5}{x}

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

\frac{x ( 2 x - 1 )}{x + 2} = 12

What is the answer to 1/2 (x+4)= 1/(3x) ?
The answer to 1/2 (x+4)= 1/(3x) is x=(-6+sqrt(42))/3 ,x=-(6+sqrt(42))/3
Solve for x: 1/2 (x+4)= 1/(3x)
The solution is x=(-6+sqrt(42))/3 ,x=-(6+sqrt(42))/3