A=7x(12x-6)

Solution for A=7x(12x-6) equation:

=7A(12A-6)

We move all terms to the left:

-(7A(12A-6))=0


We calculate terms in parentheses: -(7A(12A-6)), so:

7A(12A-6)

We multiply parentheses

84A^2-42A

Back to the equation:

-(84A^2-42A)


We get rid of parentheses

-84A^2+42A=0

a = -84; b = 42; c = 0;
Δ = b2-4ac
Δ = 422-4·(-84)·0
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-42}{2*-84}=\frac{-84}{-168}
=1/2
$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+42}{2*-84}=\frac{0}{-168}
=0
$