What is the answer to 2/(u-2)=-6+7/(u+1) ?

The answer to 2/(u-2)=-6+7/(u+1) is u= 1/2 ,u= 4/3

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2/(u-2)=-6+7/(u+1)

\frac{2}{u - 2} = - 6 + \frac{7}{u + 1}

u = \frac{1}{2}, u = \frac{4}{3}

Decimal Notation

u = 0.5, u = 1.33333 \dots

Solution steps

\frac{2}{u - 2} = - 6 + \frac{7}{u + 1}

Multiply by LCM

2 (u + 1) = - 6 (u - 2) (u + 1) + 7 (u - 2)

Solve

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

u = \frac{1}{2}, u = \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

u = 2, u = - 1

Combine undefined points with solutions:

u = \frac{1}{2}, u = \frac{4}{3}

3 π = \frac{2 π}{x}

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

\frac{10}{3 x} = \frac{15}{9}

\frac{x - 20}{x} = \frac{33}{100}

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

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