What is the answer to (x(2x-1))/(x+2)=12 ?

The answer to (x(2x-1))/(x+2)=12 is x=8,x=-3/2

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(x(2x-1))/(x+2)=12

\frac{x ( 2 x - 1 )}{x + 2} = 12

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

Decimal Notation

x = 8, x = - 1.5

Solution steps

\frac{x ( 2 x - 1 )}{x + 2} = 12

Multiply both sides by

x + 2

x (2 x - 1) = 12 (x + 2)

Solve

x (2 x - 1) = 12 (x + 2) : x = 8, x = - \frac{3}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

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

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

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

t, t + 3 + \frac{3}{t} = 0

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

\frac{k}{4} = \frac{k ^{2} - 1}{k}

What is the answer to (x(2x-1))/(x+2)=12 ?
The answer to (x(2x-1))/(x+2)=12 is x=8,x=-3/2
Solve for x: (x(2x-1))/(x+2)=12
The solution is x=8,x=-3/2