3.8x(-1-1.9x)=2.6+13.3x

Solution for 3.8x(-1-1.9x)=2.6+13.3x equation:

3.8x(-1-1.9x)=2.6+13.3x

We move all terms to the left:

3.8x(-1-1.9x)-(2.6+13.3x)=0

We add all the numbers together, and all the variables

3.8x(-1.9x-1)-(13.3x+2.6)=0

We multiply parentheses

-3x^2-3x-(13.3x+2.6)=0

We get rid of parentheses

-3x^2-3x-13.3x-2.6=0

We add all the numbers together, and all the variables

-3x^2-16.3x-2.6=0

a = -3; b = -16.3; c = -2.6;
Δ = b2-4ac
Δ = -16.32-4·(-3)·(-2.6)
Δ = 234.49
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{-(-16.3)-\sqrt{234.49}}{2*-3}=\frac{16.3-\sqrt{234.49}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16.3)+\sqrt{234.49}}{2*-3}=\frac{16.3+\sqrt{234.49}}{-6}
$