What is the answer to 5/(x+2)=(4-3x)/(x-1) ?

The answer to 5/(x+2)=(4-3x)/(x-1) is x=-(7+sqrt(205))/6 ,x=(sqrt(205)-7)/6

Solve for x: 5/(x+2)=(4-3x)/(x-1)

The solution is x=-(7+sqrt(205))/6 ,x=(sqrt(205)-7)/6

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\frac{5}{x + 2} = \frac{4 - 3 x}{x - 1}

x = - \frac{7 + 205}{6}, x = \frac{205 - 7}{6}

Decimal Notation

x = - 3.55297 \dots, x = 1.21963 \dots

Solution steps

\frac{5}{x + 2} = \frac{4 - 3 x}{x - 1}

Cross multiply

5 (x - 1) = (x + 2) (4 - 3 x)

Solve

5 (x - 1) = (x + 2) (4 - 3 x) : x = - \frac{7 + 205}{6}, x = \frac{205 - 7}{6}

x = - \frac{7 + 205}{6}, x = \frac{205 - 7}{6}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 1

Combine undefined points with solutions:

x = - \frac{7 + 205}{6}, x = \frac{205 - 7}{6}

\frac{21}{x} = 7

t, v = \frac{x}{t}

\frac{5}{4 x} - \frac{7}{36 x} = 2

\frac{2}{3} = \frac{24}{x}

\frac{- 2}{x} = 8

What is the answer to 5/(x+2)=(4-3x)/(x-1) ?
The answer to 5/(x+2)=(4-3x)/(x-1) is x=-(7+sqrt(205))/6 ,x=(sqrt(205)-7)/6
Solve for x: 5/(x+2)=(4-3x)/(x-1)
The solution is x=-(7+sqrt(205))/6 ,x=(sqrt(205)-7)/6