0.45x(180-x)=0.3(180)

Solution for 0.45x(180-x)=0.3(180) equation:

0.45x(180-x)=0.3(180)

We move all terms to the left:

0.45x(180-x)-(0.3(180))=0

We add all the numbers together, and all the variables

0.45x(-1x+180)-(0.318)=0

We add all the numbers together, and all the variables

0.45x(-1x+180)-0.318=0

We multiply parentheses

0x^2+0x-0.318=0

We add all the numbers together, and all the variables

x^2+x-0.318=0

a = 1; b = 1; c = -0.318;
Δ = b2-4ac
Δ = 12-4·1·(-0.318)
Δ = 2.272
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{2.272}}{2*1}=\frac{-1-\sqrt{2.272}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2.272}}{2*1}=\frac{-1+\sqrt{2.272}}{2}
$