54x2-63x-12=0

Solution for 54x2-63x-12=0 equation:

54x^2-63x-12=0

a = 54; b = -63; c = -12;
Δ = b2-4ac
Δ = -632-4·54·(-12)
Δ = 6561
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6561}=81$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-63)-81}{2*54}=\frac{-18}{108}
=-1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63)+81}{2*54}=\frac{144}{108}
=1+1/3
$