14x^2+85x-150=0

Solution for 14x^2+85x-150=0 equation:

14x^2+85x-150=0

a = 14; b = 85; c = -150;
Δ = b2-4ac
Δ = 852-4·14·(-150)
Δ = 15625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15625}=125$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(85)-125}{2*14}=\frac{-210}{28}
=-7+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(85)+125}{2*14}=\frac{40}{28}
=1+3/7
$