8x^2+197x-75=0

Solution for 8x^2+197x-75=0 equation:

8x^2+197x-75=0

a = 8; b = 197; c = -75;
Δ = b2-4ac
Δ = 1972-4·8·(-75)
Δ = 41209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{41209}=203$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(197)-203}{2*8}=\frac{-400}{16}
=-25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(197)+203}{2*8}=\frac{6}{16}
=3/8
$