-11x-8=24x(5x-8)

Solution for -11x-8=24x(5x-8) equation:

-11x-8=24x(5x-8)

We move all terms to the left:

-11x-8-(24x(5x-8))=0


We calculate terms in parentheses: -(24x(5x-8)), so:

24x(5x-8)

We multiply parentheses

120x^2-192x

Back to the equation:

-(120x^2-192x)


We get rid of parentheses

-120x^2-11x+192x-8=0

We add all the numbers together, and all the variables

-120x^2+181x-8=0

a = -120; b = 181; c = -8;
Δ = b2-4ac
Δ = 1812-4·(-120)·(-8)
Δ = 28921
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{-(181)-\sqrt{28921}}{2*-120}=\frac{-181-\sqrt{28921}}{-240}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(181)+\sqrt{28921}}{2*-120}=\frac{-181+\sqrt{28921}}{-240}
$