12x-14x^2-13x=0

Solution for 12x-14x^2-13x=0 equation:

12x-14x^2-13x=0

We add all the numbers together, and all the variables

-14x^2-1x=0

a = -14; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-14)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-14}=\frac{0}{-28}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-14}=\frac{2}{-28}
=-1/14
$