Let's solve in <math><mi>ℝ</mi></math>: <math><msup><mrow><mi>x</mi></mrow><mrow><mn>3</mn></mrow></msup><mo> -</mo><mi>x</mi><mo> = </mo><mn>0</mn></math>
You can write the expression: <math><msup><mrow><mi>x</mi></mrow><mrow><mn>3</mn></mrow></msup><mo> -</mo><mi>x</mi></math> in factored form: <math><mi>x</mi><mo>·</mo><mo>(</mo><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup><mo> -</mo><mn>1</mn><mo>)</mo></math>
<u>Solution obtained</u>: <math><mi>x</mi><mo> = </mo><mn>0</mn></math>
Let's solve in <math><mi>ℝ</mi></math>: <math><msup><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msup><mo> -</mo><mn>1</mn><mo> = </mo><mn>0</mn></math>
<u>Solutions found</u>: <math><mi>x</mi><mo> = </mo><mo>{ </mo><mn>-1</mn><mo>, </mo><mn>1</mn><mo> }</mo></math>

▷<b>Answer: &nbsp; <math><mi>x</mi><mo> = </mo><mo>{ </mo><mn>-1</mn><mo>, </mo><mn>0</mn><mo>, </mo><mn>1</mn><mo> }</mo></math></b><span style='font-size:smaller'> &nbsp; &nbsp; (computation took 5 steps and 1 ms)</span>