3.8x(-1-97x)=13.3x

Solution for 3.8x(-1-97x)=13.3x equation:

3.8x(-1-97x)=13.3x

We move all terms to the left:

3.8x(-1-97x)-(13.3x)=0

We add all the numbers together, and all the variables

3.8x(-97x-1)-(+13.3x)=0

We multiply parentheses

-291x^2-3x-(+13.3x)=0

We get rid of parentheses

-291x^2-3x-13.3x=0

We add all the numbers together, and all the variables

-291x^2-16.3x=0

a = -291; b = -16.3; c = 0;
Δ = b2-4ac
Δ = -16.32-4·(-291)·0
Δ = 265.69
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{265.69}}{2*-291}=\frac{16.3-\sqrt{265.69}}{-582}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16.3)+\sqrt{265.69}}{2*-291}=\frac{16.3+\sqrt{265.69}}{-582}
$