14-x-3x2=0

Solution for 14-x-3x2=0 equation:

14-x-3x^2=0

We add all the numbers together, and all the variables

-3x^2-1x+14=0

a = -3; b = -1; c = +14;
Δ = b2-4ac
Δ = -12-4·(-3)·14
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-13}{2*-3}=\frac{-12}{-6}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+13}{2*-3}=\frac{14}{-6}
=-2+1/3
$