-8x(x-2)-19=3x-200

Solution for -8x(x-2)-19=3x-200 equation:

-8x(x-2)-19=3x-200

We move all terms to the left:

-8x(x-2)-19-(3x-200)=0

We multiply parentheses

-8x^2+16x-(3x-200)-19=0

We get rid of parentheses

-8x^2+16x-3x+200-19=0

We add all the numbers together, and all the variables

-8x^2+13x+181=0

a = -8; b = 13; c = +181;
Δ = b2-4ac
Δ = 132-4·(-8)·181
Δ = 5961
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{-(13)-\sqrt{5961}}{2*-8}=\frac{-13-\sqrt{5961}}{-16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+\sqrt{5961}}{2*-8}=\frac{-13+\sqrt{5961}}{-16}
$