-12x+14x-6x(x=129)

Solution for -12x+14x-6x(x=129) equation:

-12x+14x-6x(x=129)

We move all terms to the left:

-12x+14x-6x(x-(129))=0

We add all the numbers together, and all the variables

2x-6x(x-129)=0

We multiply parentheses

-6x^2+2x+774x=0

We add all the numbers together, and all the variables

-6x^2+776x=0

a = -6; b = 776; c = 0;
Δ = b2-4ac
Δ = 7762-4·(-6)·0
Δ = 602176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{602176}=776$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(776)-776}{2*-6}=\frac{-1552}{-12}
=129+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(776)+776}{2*-6}=\frac{0}{-12}
=0
$