# Question #0aa4d

Dec 21, 2016

See below.

#### Explanation:

To find $a$, it appears that you'll need some way to solve the cubic equation that results from

$\frac{a}{2 \left(a - 1\right)} + {\left(a - 1\right)}^{2} = 0$

$a + 2 {\left(a - 1\right)}^{3} = 0$

$2 {a}^{3} - 6 {a}^{2} + 7 a - 2 = 0$

Now you need the general method for solving a cubic or some approximation method or some technology to get a solution.