5x(-2x)=-24

Solution for 5x(-2x)=-24 equation:

5x(-2x)=-24

We move all terms to the left:

5x(-2x)-(-24)=0

We add all the numbers together, and all the variables

5x(-2x)+24=0

We multiply parentheses

-10x^2+24=0

a = -10; b = 0; c = +24;
Δ = b2-4ac
Δ = 02-4·(-10)·24
Δ = 960
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{960}=\sqrt{64*15}=\sqrt{64}*\sqrt{15}=8\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{15}}{2*-10}=\frac{0-8\sqrt{15}}{-20}
=-\frac{8\sqrt{15}}{-20}
=-\frac{2\sqrt{15}}{-5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{15}}{2*-10}=\frac{0+8\sqrt{15}}{-20}
=\frac{8\sqrt{15}}{-20}
=\frac{2\sqrt{15}}{-5}
$