What is the answer to x/(x-4)=-8/(x+8) ?

The answer to x/(x-4)=-8/(x+8) is x=4(sqrt(6)-2),x=-4(2+sqrt(6))

Solve for x: x/(x-4)=-8/(x+8)

The solution is x=4(sqrt(6)-2),x=-4(2+sqrt(6))

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

x = 4 (6 - 2), x = - 4 (2 + 6)

Decimal Notation

x = 1.79795 \dots, x = - 17.79795 \dots

Solution steps

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

Cross multiply

x (x + 8) = - (x - 4) \cdot 8

Solve

x (x + 8) = - (x - 4) \cdot 8 : x = 4 (6 - 2), x = - 4 (2 + 6)

x = 4 (6 - 2), x = - 4 (2 + 6)

Verify Solutions

Find undefined (singularity) points:

x = 4, x = - 8

Combine undefined points with solutions:

x = 4 (6 - 2), x = - 4 (2 + 6)

0 = \frac{- 5}{4 ( x - \frac{6}{5} )}

\frac{10 x + 3}{7 x + 6} = \frac{1}{2}

\frac{x + 3}{x - 1} = \frac{3 x + 4}{x}

- 1 = \frac{1}{- 2 ( 1 ) + c}

\frac{3}{x} = \frac{x}{3}

What is the answer to x/(x-4)=-8/(x+8) ?
The answer to x/(x-4)=-8/(x+8) is x=4(sqrt(6)-2),x=-4(2+sqrt(6))
Solve for x: x/(x-4)=-8/(x+8)
The solution is x=4(sqrt(6)-2),x=-4(2+sqrt(6))