A=(3x+7)2x+3)

Solution for A=(3x+7)2x+3) equation:

=(3A+7)2A+3)

We move all terms to the left:

-((3A+7)2A+3))=0


We calculate terms in parentheses: -((3A+7)2A+3)), so:

(3A+7)2A+3)

We add all the numbers together, and all the variables

(3A+7)2A

We multiply parentheses

6A^2+14A

Back to the equation:

-(6A^2+14A)


We get rid of parentheses

-6A^2-14A=0

a = -6; b = -14; c = 0;
Δ = b2-4ac
Δ = -142-4·(-6)·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-14}{2*-6}=\frac{0}{-12}
=0
$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+14}{2*-6}=\frac{28}{-12}
=-2+1/3
$