What is the answer to (15+7x)/(2x)=x ?

The answer to (15+7x)/(2x)=x is x=5,x=-3/2

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(15+7x)/(2x)=x

\frac{15 + 7 x}{2 x} = x

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

Decimal Notation

x = 5, x = - 1.5

Solution steps

\frac{15 + 7 x}{2 x} = x

Multiply both sides by

x

\frac{15 + 7 x}{2} = x^{2}

Solve

\frac{15 + 7 x}{2} = x^{2} : x = 5, x = - \frac{3}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{8 - 1}{3 x} = 16

\frac{6}{5} = \frac{10}{x}

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

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

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

What is the answer to (15+7x)/(2x)=x ?
The answer to (15+7x)/(2x)=x is x=5,x=-3/2
Solve for x: (15+7x)/(2x)=x
The solution is x=5,x=-3/2