32x^2-123x-175=0

Solution for 32x^2-123x-175=0 equation:

32x^2-123x-175=0

a = 32; b = -123; c = -175;
Δ = b2-4ac
Δ = -1232-4·32·(-175)
Δ = 37529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-123)-\sqrt{37529}}{2*32}=\frac{123-\sqrt{37529}}{64}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-123)+\sqrt{37529}}{2*32}=\frac{123+\sqrt{37529}}{64}
$