Final answer to the problem
$a=-\frac{15}{13}+\sqrt{2}i,\:a=-\frac{15}{13}-\sqrt{2}i$
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1
Apply the formula: $x\left(a+b\right)$$=xa+xb$, where $b=2$, $x=5$ and $a+b=a+2$
$5a+10=\frac{40}{a}+\frac{2a}{3}$
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$5a+10=\frac{40}{a}+\frac{2a}{3}$
Learn how to solve problems step by step online. 5(a+2)=40/a+(2a)/3. Apply the formula: x\left(a+b\right)=xa+xb, where b=2, x=5 and a+b=a+2. Group the terms of the equation by moving the terms that have the variable a to the left side, and those that do not have it to the right side. Apply the formula: -\frac{b}{c}=\frac{expand\left(-b\right)}{c}, where b=40 and c=a. Apply the formula: -\frac{b}{c}=\frac{expand\left(-b\right)}{c}, where b=2a and c=3.
Final answer to the problem
$a=-\frac{15}{13}+\sqrt{2}i,\:a=-\frac{15}{13}-\sqrt{2}i$
