7.2-2x=7.3*x*(4.4+x)

Solution for 7.2-2x=7.3*x*(4.4+x) equation:

7.2-2x=7.3x(4.4+x)

We move all terms to the left:

7.2-2x-(7.3x(4.4+x))=0

We add all the numbers together, and all the variables

-2x-(7.3x(x+4.4))+7.2=0


We calculate terms in parentheses: -(7.3x(x+4.4)), so:

7.3x(x+4.4)

We multiply parentheses

7x^2+30.8x

Back to the equation:

-(7x^2+30.8x)


We get rid of parentheses

-7x^2-2x-30.8x+7.2=0

We add all the numbers together, and all the variables

-7x^2-32.8x+7.2=0

a = -7; b = -32.8; c = +7.2;
Δ = b2-4ac
Δ = -32.82-4·(-7)·7.2
Δ = 1277.44
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{-(-32.8)-\sqrt{1277.44}}{2*-7}=\frac{32.8-\sqrt{1277.44}}{-14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32.8)+\sqrt{1277.44}}{2*-7}=\frac{32.8+\sqrt{1277.44}}{-14}
$