A=-4x(6-3x)

Solution for A=-4x(6-3x) equation:

=-4A(6-3A)

We move all terms to the left:

-(-4A(6-3A))=0

We add all the numbers together, and all the variables

-(-4A(-3A+6))=0


We calculate terms in parentheses: -(-4A(-3A+6)), so:

-4A(-3A+6)

We multiply parentheses

12A^2-24A

Back to the equation:

-(12A^2-24A)


We get rid of parentheses

-12A^2+24A=0

a = -12; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·(-12)·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*-12}=\frac{-48}{-24}
=+2
$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*-12}=\frac{0}{-24}
=0
$