What is the answer to (-4)/(x-4)=1-1/(x+6) ?

The answer to (-4)/(x-4)=1-1/(x+6) is x=-1,x=-4

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(-4)/(x-4)=1-1/(x+6)

\frac{- 4}{x - 4} = 1 - \frac{1}{x + 6}

x = - 1, x = - 4

Solution steps

\frac{- 4}{x - 4} = 1 - \frac{1}{x + 6}

Multiply by LCM

- 4 (x + 6) = (x - 4) (x + 6) - (x - 4)

Solve

- 4 (x + 6) = (x - 4) (x + 6) - (x - 4) : x = - 1, x = - 4

x = - 1, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 4, x = - 6

Combine undefined points with solutions:

x = - 1, x = - 4

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

1.3 + \frac{0.5633}{1.3 + h} = 1.5

1 = 2 x + \frac{300000}{x}

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

\frac{5}{2 x + 1} = 0

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