A=5y(1-6y)

Solution for A=5y(1-6y) equation:

=5A(1-6A)

We move all terms to the left:

-(5A(1-6A))=0

We add all the numbers together, and all the variables

-(5A(-6A+1))=0


We calculate terms in parentheses: -(5A(-6A+1)), so:

5A(-6A+1)

We multiply parentheses

-30A^2+5A

Back to the equation:

-(-30A^2+5A)


We get rid of parentheses

30A^2-5A=0

a = 30; b = -5; c = 0;
Δ = b2-4ac
Δ = -52-4·30·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5}{2*30}=\frac{0}{60}
=0
$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5}{2*30}=\frac{10}{60}
=1/6
$