7x^2+114x-360=0

Solution for 7x^2+114x-360=0 equation:

7x^2+114x-360=0

a = 7; b = 114; c = -360;
Δ = b2-4ac
Δ = 1142-4·7·(-360)
Δ = 23076
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:

$\sqrt{\Delta}=\sqrt{23076}=\sqrt{36*641}=\sqrt{36}*\sqrt{641}=6\sqrt{641}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(114)-6\sqrt{641}}{2*7}=\frac{-114-6\sqrt{641}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(114)+6\sqrt{641}}{2*7}=\frac{-114+6\sqrt{641}}{14}
$