25x^2-44x-12=0

Solution for 25x^2-44x-12=0 equation:

25x^2-44x-12=0

a = 25; b = -44; c = -12;
Δ = b2-4ac
Δ = -442-4·25·(-12)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-56}{2*25}=\frac{-12}{50}
=-6/25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+56}{2*25}=\frac{100}{50}
=2
$