7x^2-105x-3150=0

Solution for 7x^2-105x-3150=0 equation:

7x^2-105x-3150=0

a = 7; b = -105; c = -3150;
Δ = b2-4ac
Δ = -1052-4·7·(-3150)
Δ = 99225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{99225}=315$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-105)-315}{2*7}=\frac{-210}{14}
=-15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-105)+315}{2*7}=\frac{420}{14}
=30
$