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

The answer to (4x)/(sqrt(x-4))=4x is x=5

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(4x)/(sqrt(x-4))=4x

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

x = 5

Solution steps

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

Multiply both sides by

x - 4

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

Simplify

4 x = 4 x x - 4

Move

4 x x - 4

to the left side

4 x - 4 x x - 4 = 0

Factor

4 x - 4 x x - 4 : - 4 x (x - 4 - 1)

- 4 x (x - 4 - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 4 - 1 = 0

Solve

x - 4 - 1 = 0 : x = 5

x = 0, x = 5

Verify Solutions:

x = 0

False

, x = 5

True

The solution is

x = 5

9 y - 14 = 6 y - 2

0 = x - 4 - 3

x = 15 + 2 x

x + 4 + x - 1 - 5 = 0

x + 2 = 7 - x - 3

What is the answer to (4x)/(sqrt(x-4))=4x ?
The answer to (4x)/(sqrt(x-4))=4x is x=5
Solve for x: (4x)/(sqrt(x-4))=4x
The solution is x=5