175x^2-35x-42=0

Solution for 175x^2-35x-42=0 equation:

175x^2-35x-42=0

a = 175; b = -35; c = -42;
Δ = b2-4ac
Δ = -352-4·175·(-42)
Δ = 30625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{30625}=175$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-175}{2*175}=\frac{-140}{350}
=-2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+175}{2*175}=\frac{210}{350}
=3/5
$