What is the answer to (2x)/(x-2)=-(30)/(x^2-10x+16) ?

The answer to (2x)/(x-2)=-(30)/(x^2-10x+16) is x=3,x=5

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(2x)/(x-2)=-(30)/(x^2-10x+16)

\frac{2 x}{x - 2} = - \frac{30}{x ^{2} - 10 x + 16}

x = 3, x = 5

Solution steps

\frac{2 x}{x - 2} = - \frac{30}{x ^{2} - 10 x + 16}

Cross multiply

2 x (x^{2} - 10 x + 16) = - (x - 2) \cdot 30

Solve

2 x (x^{2} - 10 x + 16) = - (x - 2) \cdot 30 : x = 2, x = 3, x = 5

x = 2, x = 3, x = 5

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 8

Since the equation is undefined for:

2

x = 3, x = 5

y, \frac{2 x}{y} = \frac{2 y}{x}

x - \frac{3 x + 5}{x - 9} = 2 x

\frac{1}{5 x + 7} = 2

- 6 x + \frac{6}{x} = 0

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

What is the answer to (2x)/(x-2)=-(30)/(x^2-10x+16) ?
The answer to (2x)/(x-2)=-(30)/(x^2-10x+16) is x=3,x=5
Solve for x: (2x)/(x-2)=-(30)/(x^2-10x+16)
The solution is x=3,x=5