What is the answer to (3x-6sqrt(x))/(x-4)=2 ?

The answer to (3x-6sqrt(x))/(x-4)=2 is x=16

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(3x-6sqrt(x))/(x-4)=2

\frac{3 x - 6 x}{x - 4} = 2

x = 16

Solution steps

\frac{3 x - 6 x}{x - 4} = 2

Multiply both sides by

x - 4

\frac{3 x - 6 x}{x - 4} (x - 4) = 2 (x - 4)

Simplify

3 x - 6 x = 2 (x - 4)

Expand

2 (x - 4) : 2 x - 8

3 x - 6 x = 2 x - 8

Remove square roots

36 x = x^{2} + 16 x + 64

Solve

36 x = x^{2} + 16 x + 64 : x = 16, x = 4

x = 16, x = 4

Verify Solutions:

x = 16

True

, x = 4

False

The solution is

x = 16

x - 4 = \frac{1}{x ^{2} - 81}

x + x = 16

1 = - 2 ln (2) + x

50 - 10 x = 2 x

What is the answer to (3x-6sqrt(x))/(x-4)=2 ?
The answer to (3x-6sqrt(x))/(x-4)=2 is x=16
Solve for x: (3x-6sqrt(x))/(x-4)=2
The solution is x=16