-14x=6x^2+4

Solution for -14x=6x^2+4 equation:

-14x=6x^2+4

We move all terms to the left:

-14x-(6x^2+4)=0

We get rid of parentheses

-6x^2-14x-4=0

a = -6; b = -14; c = -4;
Δ = b2-4ac
Δ = -142-4·(-6)·(-4)
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-10}{2*-6}=\frac{4}{-12}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+10}{2*-6}=\frac{24}{-12}
=-2
$