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

The answer to x/3-x/(2-x)=-1 is x=-2-sqrt(10),x=sqrt(10)-2

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

The solution is x=-2-sqrt(10),x=sqrt(10)-2

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

x = - 2 - 10, x = 10 - 2

Decimal Notation

x = - 5.16227 \dots, x = 1.16227 \dots

Solution steps

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

Multiply by LCM

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

Solve

x (- x + 2) - 3 x = - 3 (- x + 2) : x = - 2 - 10, x = 10 - 2

x = - 2 - 10, x = 10 - 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 2 - 10, x = 10 - 2

\frac{21}{- 4 h} = \frac{14}{11 + h}

\frac{4110 + x}{x} = e^{0.45 π}

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

\frac{1080}{100} = \frac{944}{x}

\frac{x}{( 1 - x ) ^{2}} = 9.6

What is the answer to x/3-x/(2-x)=-1 ?
The answer to x/3-x/(2-x)=-1 is x=-2-sqrt(10),x=sqrt(10)-2
Solve for x: x/3-x/(2-x)=-1
The solution is x=-2-sqrt(10),x=sqrt(10)-2