-2x(6x+7)=-62

Solution for -2x(6x+7)=-62 equation:

-2x(6x+7)=-62

We move all terms to the left:

-2x(6x+7)-(-62)=0

We add all the numbers together, and all the variables

-2x(6x+7)+62=0

We multiply parentheses

-12x^2-14x+62=0

a = -12; b = -14; c = +62;
Δ = b2-4ac
Δ = -142-4·(-12)·62
Δ = 3172
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:

$\sqrt{\Delta}=\sqrt{3172}=\sqrt{4*793}=\sqrt{4}*\sqrt{793}=2\sqrt{793}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-2\sqrt{793}}{2*-12}=\frac{14-2\sqrt{793}}{-24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+2\sqrt{793}}{2*-12}=\frac{14+2\sqrt{793}}{-24}
$