What is the answer to (5x)/(x+4)=4x+1 ?

The answer to (5x)/(x+4)=4x+1 is x=(-3+sqrt(5))/2 ,x=-(3+sqrt(5))/2

Solve for x: (5x)/(x+4)=4x+1

The solution is x=(-3+sqrt(5))/2 ,x=-(3+sqrt(5))/2

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\frac{5 x}{x + 4} = 4 x + 1

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

Decimal Notation

x = - 0.38196 \dots, x = - 2.61803 \dots

Solution steps

\frac{5 x}{x + 4} = 4 x + 1

Multiply both sides by

x + 4

5 x = 4 x (x + 4) + x + 4

Solve

5 x = 4 x (x + 4) + x + 4 : x = \frac{- 3 + 5}{2}, x = - \frac{3 + 5}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

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

N (t) = \frac{10 ( 5 + 3 t )}{1 + 0.04 t}

\frac{8}{x} = 3 x + 2

\frac{8 x}{( x ^{2} - 4 ) ^{2}} = 0

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

\frac{4}{3 y} + \frac{5}{2 y} = 1

What is the answer to (5x)/(x+4)=4x+1 ?
The answer to (5x)/(x+4)=4x+1 is x=(-3+sqrt(5))/2 ,x=-(3+sqrt(5))/2
Solve for x: (5x)/(x+4)=4x+1
The solution is x=(-3+sqrt(5))/2 ,x=-(3+sqrt(5))/2