What is the answer to 6-5/(w+2)=-4/(w-1) ?

The answer to 6-5/(w+2)=-4/(w-1) is w=-1/3 ,w=-1/2

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6-5/(w+2)=-4/(w-1)

6 - \frac{5}{w + 2} = - \frac{4}{w - 1}

w = - \frac{1}{3}, w = - \frac{1}{2}

Decimal Notation

w = - 0.33333 \dots, w = - 0.5

Solution steps

6 - \frac{5}{w + 2} = - \frac{4}{w - 1}

Multiply by LCM

6 (w + 2) (w - 1) - 5 (w - 1) = - 4 (w + 2)

Solve

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

w = - \frac{1}{3}, w = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

w = - 2, w = 1

Combine undefined points with solutions:

w = - \frac{1}{3}, w = - \frac{1}{2}

l^{2} + \frac{l}{x} = 0

7 + \frac{11}{z} = \frac{6}{z ^{2}}

x, \frac{43}{x} = 18

\frac{3 x}{x + 4} = \frac{5}{3}

\frac{12 ( 33000 )}{33000 + x} = 2.75

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