30x^2+130x-100=0

Solution for 30x^2+130x-100=0 equation:

30x^2+130x-100=0

a = 30; b = 130; c = -100;
Δ = b2-4ac
Δ = 1302-4·30·(-100)
Δ = 28900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28900}=170$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(130)-170}{2*30}=\frac{-300}{60}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(130)+170}{2*30}=\frac{40}{60}
=2/3
$