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

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

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

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

x = 2, x = - 3

Solution steps

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

Simplify

\frac{4}{( x - 1 )} : \frac{4}{x - 1}

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

Multiply both sides by

x - 1

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

Solve

x (x - 1) + 2 (x - 1) = 4 : x = 2, x = - 3

x = 2, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2, x = - 3

\frac{90}{x + 4} = \frac{10}{x - 4}

- \frac{50000}{x ^{2}} + 2.5 = 0

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

2 = \frac{2}{m} - 7

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