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

The answer to 2/x+(3-x)/x =4x is x=1,x=-5/4

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2/x+(3-x)/x =4x

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

x = 1, x = - \frac{5}{4}

Decimal Notation

x = 1, x = - 1.25

Solution steps

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

Multiply both sides by

x

- x + 5 = 4 x^{2}

Solve

- x + 5 = 4 x^{2} : x = 1, x = - \frac{5}{4}

x = 1, x = - \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - \frac{5}{4}

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

x + \frac{10}{x} = - 11

x, 0 = 2 + \frac{1}{x + 1}

30 = \frac{1 9 ^{2}}{4 x - 20}

\frac{3}{b} = 9

What is the answer to 2/x+(3-x)/x =4x ?
The answer to 2/x+(3-x)/x =4x is x=1,x=-5/4
Solve for x: 2/x+(3-x)/x =4x
The solution is x=1,x=-5/4