30x+-25x^2=-72

Solution for 30x+-25x^2=-72 equation:

30x+-25x^2=-72

We move all terms to the left:

30x+-25x^2-(-72)=0

We add all the numbers together, and all the variables

-25x^2+30x+72=0

a = -25; b = 30; c = +72;
Δ = b2-4ac
Δ = 302-4·(-25)·72
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-90}{2*-25}=\frac{-120}{-50}
=2+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+90}{2*-25}=\frac{60}{-50}
=-1+1/5
$