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

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

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4/(w-2)=(-1)/(w+3)

\frac{4}{w - 2} = \frac{- 1}{w + 3}

w = - 2

Solution steps

\frac{4}{w - 2} = \frac{- 1}{w + 3}

Cross multiply

4 w + 12 = - w + 2

Move

12

to the right side

4 w = - w - 10

Move

w

to the left side

5 w = - 10

Divide both sides by

5

w = - 2

Verify Solutions

Find undefined (singularity) points:

w = 2, w = - 3

Combine undefined points with solutions:

w = - 2

9 - \frac{1}{t} = \frac{8}{t ^{2}}

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

\frac{4}{h} = \frac{h}{36}

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

\frac{1}{x} + \frac{4}{x - 8} = 0

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