1.8.88=4.44(x-7)x=

Solution for 1.8.88=4.44(x-7)x= equation:

1.8.88=4.44(x-7)x=

We move all terms to the left:

1.8.88-(4.44(x-7)x)=0

We add all the numbers together, and all the variables

-(4.44(x-7)x)+1.584=0


We calculate terms in parentheses: -(4.44(x-7)x), so:

4.44(x-7)x

We multiply parentheses

4x^2-28x

Back to the equation:

-(4x^2-28x)


We get rid of parentheses

-4x^2+28x+1.584=0

a = -4; b = 28; c = +1.584;
Δ = b2-4ac
Δ = 282-4·(-4)·1.584
Δ = 809.344
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{-(28)-\sqrt{809.344}}{2*-4}=\frac{-28-\sqrt{809.344}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+\sqrt{809.344}}{2*-4}=\frac{-28+\sqrt{809.344}}{-8}
$