Solve -x^3/900+400x-20000

$$- \frac{ { x }^{ 3 } }{ 900 } +400x-20000$$

Evaluate

$$-\frac{x^{3}}{900}+400x-20000$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 400x-20000 times \frac{900}{900}.

$$-\frac{x^{3}}{900}+\frac{900\left(400x-20000\right)}{900}$$

Since -\frac{x^{3}}{900} and \frac{900\left(400x-20000\right)}{900} have the same denominator, add them by adding their numerators.

$$\frac{-x^{3}+900\left(400x-20000\right)}{900}$$

Do the multiplications in -x^{3}+900\left(400x-20000\right).

$$\frac{-x^{3}+360000x-18000000}{900}$$

Factor

$$\frac{-x^{3}+360000x-18000000}{900}$$

Solution Steps

Factor out \frac{1}{900}. Polynomial -x^{3}+360000x-18000000 is not factored since it does not have any rational roots.

$$\frac{-x^{3}+360000x-18000000}{900}$$