2.5x^2+20x-30=0

Solution for 2.5x^2+20x-30=0 equation:

2.5x^2+20x-30=0

a = 2.5; b = 20; c = -30;
Δ = b2-4ac
Δ = 202-4·2.5·(-30)
Δ = 700
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:

$\sqrt{\Delta}=\sqrt{700}=\sqrt{100*7}=\sqrt{100}*\sqrt{7}=10\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-10\sqrt{7}}{2*2.5}=\frac{-20-10\sqrt{7}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+10\sqrt{7}}{2*2.5}=\frac{-20+10\sqrt{7}}{5}
$