-25.2=-50.4x+24.2x^2

Solution for -25.2=-50.4x+24.2x^2 equation:

-25.2=-50.4x+24.2x^2

We move all terms to the left:

-25.2-(-50.4x+24.2x^2)=0

We get rid of parentheses

-24.2x^2+50.4x-25.2=0

a = -24.2; b = 50.4; c = -25.2;
Δ = b2-4ac
Δ = 50.42-4·(-24.2)·(-25.2)
Δ = 100.8
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{-(50.4)-\sqrt{100.8}}{2*-24.2}=\frac{-50.4-\sqrt{100.8}}{-48.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50.4)+\sqrt{100.8}}{2*-24.2}=\frac{-50.4+\sqrt{100.8}}{-48.4}
$