-6x^2=-14x+2

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

-6x^2=-14x+2

We move all terms to the left:

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

We get rid of parentheses

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

a = -6; b = 14; c = -2;
Δ = b2-4ac
Δ = 142-4·(-6)·(-2)
Δ = 148
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{148}=\sqrt{4*37}=\sqrt{4}*\sqrt{37}=2\sqrt{37}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-2\sqrt{37}}{2*-6}=\frac{-14-2\sqrt{37}}{-12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+2\sqrt{37}}{2*-6}=\frac{-14+2\sqrt{37}}{-12}
$