What is the answer to x-(4x+8)/(16x)= 1/(4x) ?

The answer to x-(4x+8)/(16x)= 1/(4x) is x=1,x=-3/4

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x-(4x+8)/(16x)= 1/(4x)

x - \frac{4 x + 8}{16 x} = \frac{1}{4 x}

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

Decimal Notation

x = 1, x = - 0.75

Solution steps

x - \frac{4 x + 8}{16 x} = \frac{1}{4 x}

Simplify

- \frac{4 x + 8}{16 x} : - \frac{x + 2}{4 x}

x - \frac{x + 2}{4 x} = \frac{1}{4 x}

Multiply both sides by

4 x

4 x^{2} - (x + 2) = 1

Solve

4 x^{2} - (x + 2) = 1 : x = 1, x = - \frac{3}{4}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{2 x + 6}{x - 5} = \frac{x + 3}{x - 1}

\frac{4}{x + 1} - \frac{x}{x + 1} = 2

\frac{x}{x + 2} + \frac{6}{x + 4} = 1

\frac{6 x - 1}{x ^{2} + 7} = 1

1 + \frac{9}{x ^{2}} = 0

What is the answer to x-(4x+8)/(16x)= 1/(4x) ?
The answer to x-(4x+8)/(16x)= 1/(4x) is x=1,x=-3/4
Solve for x: x-(4x+8)/(16x)= 1/(4x)
The solution is x=1,x=-3/4