0=-10x^2+24x+15

Solution for 0=-10x^2+24x+15 equation:

0=-10x^2+24x+15

We move all terms to the left:

0-(-10x^2+24x+15)=0

We add all the numbers together, and all the variables

-(-10x^2+24x+15)=0

We get rid of parentheses

10x^2-24x-15=0

a = 10; b = -24; c = -15;
Δ = b2-4ac
Δ = -242-4·10·(-15)
Δ = 1176
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:

$\sqrt{\Delta}=\sqrt{1176}=\sqrt{196*6}=\sqrt{196}*\sqrt{6}=14\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-14\sqrt{6}}{2*10}=\frac{24-14\sqrt{6}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+14\sqrt{6}}{2*10}=\frac{24+14\sqrt{6}}{20}
$