A=x(4x+6)

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

=A(4A+6)

We move all terms to the left:

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


We calculate terms in parentheses: -(A(4A+6)), so:

A(4A+6)

We multiply parentheses

4A^2+6A

Back to the equation:

-(4A^2+6A)


We get rid of parentheses

-4A^2-6A=0

a = -4; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·(-4)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*-4}=\frac{0}{-8}
=0
$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*-4}=\frac{12}{-8}
=-1+1/2
$