Solve \(\frac{15}{x} \frac{9x-7}{x^2}\) = 9

Evaluate

\frac{15}{x} \times \frac{9 x - 7}{x ^{2}} = 9

Find the domain

More Steps

\frac{15}{x} \times \frac{9 x - 7}{x ^{2}} = 9, x \neq = 0

Multiply the terms

More Steps

\frac{15 ( 9 x - 7 )}{x ^{3}} = 9

Cross multiply

15 (9 x - 7) = x^{3} \times 9

Simplify the equation

15 (9 x - 7) = 9 x^{3}

Rewrite the expression

3 \times 5 (9 x - 7) = 3 \times 3 x^{3}

Evaluate

5 (9 x - 7) = 3 x^{3}

Expand the expression

More Steps

45 x - 35 = 3 x^{3}

Move the expression to the left side

45 x - 35 - 3 x^{3} = 0

Calculate

x \approx - 4.215184 x \approx 0.813694 x \approx 3.401489

Check if the solution is in the defined range

x \approx - 4.215184 x \approx 0.813694 x \approx 3.401489, x \neq = 0

Find the intersection of the solution and the defined range

x \approx - 4.215184 x \approx 0.813694 x \approx 3.401489

Solution

x_{1} \approx - 4.215184, x_{2} \approx 0.813694, x_{3} \approx 3.401489

Solve the equation