What is the answer to (x+3)/(5x-2)= x/(x+1) ?

The answer to (x+3)/(5x-2)= x/(x+1) is x=-(-3+sqrt(21))/4 ,x=(3+sqrt(21))/4

Solve for x: (x+3)/(5x-2)= x/(x+1)

The solution is x=-(-3+sqrt(21))/4 ,x=(3+sqrt(21))/4

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\frac{x + 3}{5 x - 2} = \frac{x}{x + 1}

x = - \frac{- 3 + 21}{4}, x = \frac{3 + 21}{4}

Decimal Notation

x = - 0.39564 \dots, x = 1.89564 \dots

Solution steps

\frac{x + 3}{5 x - 2} = \frac{x}{x + 1}

Cross multiply

(x + 3) (x + 1) = (5 x - 2) x

Solve

(x + 3) (x + 1) = (5 x - 2) x : x = - \frac{- 3 + 21}{4}, x = \frac{3 + 21}{4}

x = - \frac{- 3 + 21}{4}, x = \frac{3 + 21}{4}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{5}, x = - 1

Combine undefined points with solutions:

x = - \frac{- 3 + 21}{4}, x = \frac{3 + 21}{4}

\frac{10}{x + 3} + \frac{10}{3} = 6

166 = 40 (1 + \frac{0.05}{x})

\frac{3.5}{x} = 3

y, x = \frac{4}{y - 1}

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

What is the answer to (x+3)/(5x-2)= x/(x+1) ?
The answer to (x+3)/(5x-2)= x/(x+1) is x=-(-3+sqrt(21))/4 ,x=(3+sqrt(21))/4
Solve for x: (x+3)/(5x-2)= x/(x+1)
The solution is x=-(-3+sqrt(21))/4 ,x=(3+sqrt(21))/4