What is the answer to 1/(5*x*(-2/3)*x)= 9/7-x ?

The answer to 1/(5*x*(-2/3)*x)= 9/7-x is x\approx 1.43200…

Solve for x: 1/(5*x*(-2/3)*x)= 9/7-x

The solution is x\approx 1.43200…

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\frac{1}{5 \cdot x \cdot ( - \frac{2}{3} ) \cdot x} = \frac{9}{7} - x

x \approx 1.43200 \dots

Solution steps

\frac{1}{5 x ( - \frac{2}{3} ) x} = \frac{9}{7} - x

Simplify

\frac{1}{5 x ( - \frac{2}{3} ) x} : - \frac{3}{10 x ^{2}}

- \frac{3}{10 x ^{2}} = \frac{9}{7} - x

Multiply both sides by

x^{2}

- \frac{3}{10} = \frac{9}{7} x^{2} - x^{3}

Solve

- \frac{3}{10} = \frac{9}{7} x^{2} - x^{3} : x \approx 1.43200 \dots

x \approx 1.43200 \dots

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x \approx 1.43200 \dots

\frac{( x - 1 )}{( x - 2 )} - \frac{( x - 3 )}{( x - 4 )} = - \frac{2}{15}

0.1 = \frac{0.4}{n}

x, \frac{200}{x} + \frac{400}{y} = \frac{1}{2}

\frac{3}{e ( 4 n - 3 ) n} = 2

\frac{1}{8 - ( 1 + 3 x ) ^{3}} = 0

What is the answer to 1/(5*x*(-2/3)*x)= 9/7-x ?
The answer to 1/(5*x*(-2/3)*x)= 9/7-x is x\approx 1.43200…
Solve for x: 1/(5*x*(-2/3)*x)= 9/7-x
The solution is x\approx 1.43200…