A=0.15*(x/0.375)*(x-2)

Solution for A=0.15*(x/0.375)*(x-2) equation:

=0.15(A/0.375)(A-2)

We move all terms to the left:

-(0.15(A/0.375)(A-2))=0


Domain of the equation: 0.375)(A-2))!=0

A∈R


We add all the numbers together, and all the variables

-(0.15(+A/0.375)(A-2))=0

We multiply parentheses ..

-(0.15(+A^2-2A))=0


We calculate terms in parentheses: -(0.15(+A^2-2A)), so:

0.15(+A^2-2A)

We multiply parentheses

0.15A^2-0.3A

Back to the equation:

-(0.15A^2-0.3A)


We get rid of parentheses

-0.15A^2+0.3A=0

a = -0.15; b = 0.3; c = 0;
Δ = b2-4ac
Δ = 0.32-4·(-0.15)·0
Δ = 0.09
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0.3)-\sqrt{0.09}}{2*-0.15}=\frac{-0.3-\sqrt{0.09}}{-0.3}
$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.3)+\sqrt{0.09}}{2*-0.15}=\frac{-0.3+\sqrt{0.09}}{-0.3}
$