X=-14,x^2-6x

Solution for X=-14,x^2-6x equation:

X=-14.X^2-6X

We move all terms to the left:

X-(-14.X^2-6X)=0

We get rid of parentheses

14.X^2+6X+X=0

We add all the numbers together, and all the variables

14.X^2+7X=0

a = 14.; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·14.·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*14.}=\frac{-14}{28}
=-1/2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*14.}=\frac{0}{28}
=0
$