MHB How to solve X for beta/portfolio investment

[Luclucluc]

bP = 1,0 = 1.48A + (0.72 * (1-A))

How does one solve for A in this given situation?

 

[I like Serena]

bP = 1,0 = 1.48A + (0.72 * (1-A))

How does one solve for A in this given situation?

What is your equation?
Is it:
\begin{cases}
bP = 1.0 \\
1.0 = 1.48A + (0.72 * (1-A))
\end{cases}
Or is it:
\begin{cases}
bP = 1, \\
0 = 1.48A + (0.72 * (1-A))
\end{cases}

 

[HallsofIvy]

Assuming that your equation is 1.48A+ (0.72(1- A))= 0, first expand the multiplication: 0.72(1- A)= 0.72- 0.72A.

That makes the equation 1.48A+ 0.72- 0.72A= 0.

Now, combine the two "A" terms: 1.48A- 0.72A= (1.48- 0.72)A= 0.76A.

That makes the equation 0.76A+ 0.72= 0.

Subtract 0.72 from both sides: 0.76A= -0.72.

Finally, divide both sides by 0.76: A= -\frac{0.72}{0.76}= 0.9473...