Solve -1-6x^2-x^4/6

$$- 1 - 6 x ^ { 2 } - \frac { x ^ { 4 } } { 6 }$$

Evaluate

$$-\frac{x^{4}}{6}-6x^{2}-1$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -1-6x^{2} times \frac{6}{6}.

$$\frac{6\left(-1-6x^{2}\right)}{6}-\frac{x^{4}}{6}$$

Since \frac{6\left(-1-6x^{2}\right)}{6} and \frac{x^{4}}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6\left(-1-6x^{2}\right)-x^{4}}{6}$$

Do the multiplications in 6\left(-1-6x^{2}\right)-x^{4}.

$$\frac{-6-36x^{2}-x^{4}}{6}$$

Factor

$$-\frac{1}{6}\left(x^{2}-\left(-\sqrt{318}-18\right)\right)\left(x^{2}-\left(\sqrt{318}-18\right)\right)$$