13. Simplify: $$ \frac{6}{-10+5 i} $$

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Calculate or simplify the expression $$ \frac{6}{-10+5i} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{6}{-10+5i}$$
- step1: Multiply by the Conjugate:
  $$\frac{6\left(-10-5i\right)}{\left(-10+5i\right)\left(-10-5i\right)}$$
- step2: Calculate:
  $$\frac{-60-30i}{\left(-10+5i\right)\left(-10-5i\right)}$$
- step3: Calculate:
  $$\frac{-60-30i}{125}$$
- step4: Rewrite the expression:
  $$\frac{5\left(-12-6i\right)}{125}$$
- step5: Reduce the fraction:
  $$\frac{-12-6i}{25}$$
- step6: Rewrite the fraction:
  $$-\frac{12+6i}{25}$$
- step7: Simplify:
  $$-\frac{12}{25}-\frac{6}{25}i$$
The simplified form of $$ \frac{6}{-10+5i} $$ is $$ -\frac{12}{25} - \frac{6}{25}i $$.
$$ -\frac{12}{25} - \frac{6}{25}i $$

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