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

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

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

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

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

Decimal Notation

x = - 1.5, x = - 2

Solution steps

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

Multiply both sides by

2 + 2 x

x = x (2 + 2 x) + 3 (2 + 2 x)

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

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

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

a = \frac{2 m}{s ^{2}}

\frac{1}{( x ^{2} - 10 x - 29 )} + \frac{1}{( x ^{2} - 10 x - 45 )} - \frac{2}{( x ^{2} - 10 x - 69 )} = 0

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

\frac{1}{2 w + 7} = 2 w - 2