What is the answer to 1/(2x)+x=(x+2)/(4x) ?

The answer to 1/(2x)+x=(x+2)/(4x) is x= 1/4

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1/(2x)+x=(x+2)/(4x)

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

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

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

Multiply by LCM

2 + 4 x^{2} = x + 2

Solve

2 + 4 x^{2} = x + 2 : x = \frac{1}{4}, x = 0

x = \frac{1}{4}, x = 0

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x = \frac{1}{4}

\frac{x - 2}{x + 4} = \frac{1}{3}

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

\frac{4 x + 1}{3 x} = \frac{5}{6}

\frac{- 4}{x ^{2}} = 0

- \frac{12 x}{( x ^{2} - 9 ) ^{2}} = 0

What is the answer to 1/(2x)+x=(x+2)/(4x) ?
The answer to 1/(2x)+x=(x+2)/(4x) is x= 1/4
Solve for x: 1/(2x)+x=(x+2)/(4x)
The solution is x= 1/4