5x^2+40x-140=0

Solution for 5x^2+40x-140=0 equation:

5x^2+40x-140=0

a = 5; b = 40; c = -140;
Δ = b2-4ac
Δ = 402-4·5·(-140)
Δ = 4400
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:

$\sqrt{\Delta}=\sqrt{4400}=\sqrt{400*11}=\sqrt{400}*\sqrt{11}=20\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-20\sqrt{11}}{2*5}=\frac{-40-20\sqrt{11}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+20\sqrt{11}}{2*5}=\frac{-40+20\sqrt{11}}{10}
$