Solve =frac{-2-frac{6sqrt{5}}{5}}{2*(-1/5)}

$$= \frac { - 2 - \frac { 6 \sqrt { 5 } } { 5 } } { 2 \cdot ( - \frac { 1 } { 5 } ) }$$

Evaluate

$$3\sqrt{5}+5\approx 11.708203932$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -2 times \frac{5}{5}.

$$\frac{-\frac{2\times 5}{5}-\frac{6\sqrt{5}}{5}}{2\left(-\frac{1}{5}\right)}$$

Since -\frac{2\times 5}{5} and \frac{6\sqrt{5}}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-2\times 5-6\sqrt{5}}{5}}{2\left(-\frac{1}{5}\right)}$$

Do the multiplications in -2\times 5-6\sqrt{5}.

$$\frac{\frac{-10-6\sqrt{5}}{5}}{2\left(-\frac{1}{5}\right)}$$

Express 2\left(-\frac{1}{5}\right) as a single fraction.

$$\frac{\frac{-10-6\sqrt{5}}{5}}{\frac{2\left(-1\right)}{5}}$$

Multiply 2 and -1 to get -2.

$$\frac{\frac{-10-6\sqrt{5}}{5}}{\frac{-2}{5}}$$

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$\frac{\frac{-10-6\sqrt{5}}{5}}{-\frac{2}{5}}$$

Divide \frac{-10-6\sqrt{5}}{5} by -\frac{2}{5} by multiplying \frac{-10-6\sqrt{5}}{5} by the reciprocal of -\frac{2}{5}.

$$\frac{\left(-10-6\sqrt{5}\right)\times 5}{5\left(-2\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{-6\sqrt{5}-10}{-2}$$

Divide each term of -6\sqrt{5}-10 by -2 to get 5+3\sqrt{5}.

$$5+3\sqrt{5}$$

Factor

$$\sqrt{5} {(\sqrt{5} + 3)} = 11.708203932$$