Solve -10x-x^4/5-6

$$- 10 x - \frac { x ^ { 4 } } { 5 } - 6$$

Evaluate

$$-\frac{x^{4}}{5}-10x-6$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -10x-6 times \frac{5}{5}.

$$\frac{5\left(-10x-6\right)}{5}-\frac{x^{4}}{5}$$

Since \frac{5\left(-10x-6\right)}{5} and \frac{x^{4}}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5\left(-10x-6\right)-x^{4}}{5}$$

Do the multiplications in 5\left(-10x-6\right)-x^{4}.

$$\frac{-50x-30-x^{4}}{5}$$

Factor

$$\frac{-x^{4}-50x-30}{5}$$

Solution Steps

Factor out \frac{1}{5}. Polynomial -50x-x^{4}-30 is not factored since it does not have any rational roots.

$$\frac{-50x-x^{4}-30}{5}$$