A=(8x+6)(6x+4)

Solution for A=(8x+6)(6x+4) equation:

=(8A+6)(6A+4)

We move all terms to the left:

-((8A+6)(6A+4))=0

We multiply parentheses ..

-((+48A^2+32A+36A+24))=0


We calculate terms in parentheses: -((+48A^2+32A+36A+24)), so:

(+48A^2+32A+36A+24)

We get rid of parentheses

48A^2+32A+36A+24

We add all the numbers together, and all the variables

48A^2+68A+24

Back to the equation:

-(48A^2+68A+24)


We get rid of parentheses

-48A^2-68A-24=0

a = -48; b = -68; c = -24;
Δ = b2-4ac
Δ = -682-4·(-48)·(-24)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-68)-4}{2*-48}=\frac{64}{-96}
=-2/3
$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-68)+4}{2*-48}=\frac{72}{-96}
=-3/4
$