0.28=x(3-2x)

Solution for 0.28=x(3-2x) equation:

0.28=x(3-2x)

We move all terms to the left:

0.28-(x(3-2x))=0

We add all the numbers together, and all the variables

-(x(-2x+3))+0.28=0


We calculate terms in parentheses: -(x(-2x+3)), so:

x(-2x+3)

We multiply parentheses

-2x^2+3x

Back to the equation:

-(-2x^2+3x)


We get rid of parentheses

2x^2-3x+0.28=0

a = 2; b = -3; c = +0.28;
Δ = b2-4ac
Δ = -32-4·2·0.28
Δ = 6.76
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{-(-3)-\sqrt{6.76}}{2*2}=\frac{3-\sqrt{6.76}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{6.76}}{2*2}=\frac{3+\sqrt{6.76}}{4}
$