What is the answer to x^3-x^2-8/(x^3-x^2)=2 ?

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

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x^3-x^2-8/(x^3-x^2)=2

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

x = - 1, x = 2

Solution steps

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

Multiply both sides by

x^{3} - x^{2}

x^{3} (x^{3} - x^{2}) - x^{2} (x^{3} - x^{2}) - 8 = 2 (x^{3} - x^{2})

Solve

x^{3} (x^{3} - x^{2}) - x^{2} (x^{3} - x^{2}) - 8 = 2 (x^{3} - x^{2}) : x = - 1, x = 2

x = - 1, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = - 1, x = 2

\frac{3}{x - 6} = \frac{2}{2 x - 9}

1 - \frac{7}{x - 2} = \frac{7}{x ^{2} - 5 x + 6}

\frac{0.3}{4} = \frac{9}{y}

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

\frac{8432 - 3870}{x} = 8346

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