A=x(-1.5x+2.5)

Solution for A=x(-1.5x+2.5) equation:

=A(-1.5A+2.5)

We move all terms to the left:

-(A(-1.5A+2.5))=0


We calculate terms in parentheses: -(A(-1.5A+2.5)), so:

A(-1.5A+2.5)

We multiply parentheses

-1A^2+2.5A

Back to the equation:

-(-1A^2+2.5A)


We get rid of parentheses

1A^2-2.5A=0

We add all the numbers together, and all the variables

A^2-2.5A=0

a = 1; b = -2.5; c = 0;
Δ = b2-4ac
Δ = -2.52-4·1·0
Δ = 6.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$A_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2.5)-\sqrt{6.25}}{2*1}=\frac{2.5-\sqrt{6.25}}{2}
$
$A_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.5)+\sqrt{6.25}}{2*1}=\frac{2.5+\sqrt{6.25}}{2}
$