5.6=x(6-x)

Solution for 5.6=x(6-x) equation:

5.6=x(6-x)

We move all terms to the left:

5.6-(x(6-x))=0

We add all the numbers together, and all the variables

-(x(-1x+6))+5.6=0


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

x(-1x+6)

We multiply parentheses

-1x^2+6x

Back to the equation:

-(-1x^2+6x)


We get rid of parentheses

1x^2-6x+5.6=0

We add all the numbers together, and all the variables

x^2-6x+5.6=0

a = 1; b = -6; c = +5.6;
Δ = b2-4ac
Δ = -62-4·1·5.6
Δ = 13.6
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{-(-6)-\sqrt{13.6}}{2*1}=\frac{6-\sqrt{13.6}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+\sqrt{13.6}}{2*1}=\frac{6+\sqrt{13.6}}{2}
$