33x^2+10x-75=0

Solution for 33x^2+10x-75=0 equation:

33x^2+10x-75=0

a = 33; b = 10; c = -75;
Δ = b2-4ac
Δ = 102-4·33·(-75)
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-100}{2*33}=\frac{-110}{66}
=-1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+100}{2*33}=\frac{90}{66}
=1+4/11
$