Solve -x^6/11x-5x^8/3=

$$- \frac { x ^ { 6 } } { 11 } x - \frac { 5 x ^ { 8 } } { 3 } =$$

Evaluate

$$-\frac{5x^{8}}{3}-\frac{x^{7}}{11}$$

Short Solution Steps

Express \left(-\frac{x^{6}}{11}\right)x as a single fraction.

$$\frac{-x^{6}x}{11}-\frac{5x^{8}}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 11 and 3 is 33. Multiply \frac{-x^{6}x}{11} times \frac{3}{3}. Multiply \frac{5x^{8}}{3} times \frac{11}{11}.

$$\frac{3\left(-1\right)x^{6}x}{33}-\frac{11\times 5x^{8}}{33}$$

Since \frac{3\left(-1\right)x^{6}x}{33} and \frac{11\times 5x^{8}}{33} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\left(-1\right)x^{6}x-11\times 5x^{8}}{33}$$

Do the multiplications in 3\left(-1\right)x^{6}x-11\times 5x^{8}.

$$\frac{-3x^{7}-55x^{8}}{33}$$

Factor

$$\frac{\left(-55x-3\right)x^{7}}{33}$$

Solution Steps

Factor out \frac{1}{33}.

$$\frac{-3x^{6}x-55x^{8}}{33}$$

Consider -3x^{7}-55x^{8}. Factor out x^{7}.

$$x^{7}\left(-3-55x\right)$$

Rewrite the complete factored expression.

$$\frac{x^{7}\left(-55x-3\right)}{33}$$