30x^2+156x-144=0

Solution for 30x^2+156x-144=0 equation:

30x^2+156x-144=0

a = 30; b = 156; c = -144;
Δ = b2-4ac
Δ = 1562-4·30·(-144)
Δ = 41616
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{41616}=204$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(156)-204}{2*30}=\frac{-360}{60}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(156)+204}{2*30}=\frac{48}{60}
=4/5
$