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

The answer to x((4-x)/x)+x=4 is x\ne 0

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

x (\frac{4 - x}{x}) + x = 4

x \neq = 0

Solution steps

x (\frac{4 - x}{x}) + x = 4

Simplify

x (\frac{4 - x}{x}) : 4 - x

4 - x + x = 4

Solve

4 - x + x = 4 :

True for all

x

True for all x

Verify Solutions

Find undefined (singularity) points:

x = 0

Since the equation is undefined for:

0

x \neq = 0

\frac{15}{x} + 6 = \frac{9}{2 x}

\frac{3 x - 2}{5} = \frac{8}{x}

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

x, R = \frac{y}{x} x^{100}

4 = \frac{16}{x}