30x^2-60x-1050=0

Solution for 30x^2-60x-1050=0 equation:

30x^2-60x-1050=0

a = 30; b = -60; c = -1050;
Δ = b2-4ac
Δ = -602-4·30·(-1050)
Δ = 129600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{129600}=360$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-360}{2*30}=\frac{-300}{60}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+360}{2*30}=\frac{420}{60}
=7
$