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

The answer to ((x^2+x))/x =4 is x=3

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

\frac{( x ^{2} + x )}{x} = 4

x = 3

Solution steps

\frac{( x ^{2} + x )}{x} = 4

Simplify

\frac{x ^{2} + x}{x} : x + 1

x + 1 = 4

Move

1

to the right side

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3

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

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

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

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

y, \frac{x}{y} + \frac{y}{x} = 3 y