-2x(6x-7)=0

Solution for -2x(6x-7)=0 equation:

-2x(6x-7)=0

We multiply parentheses

-12x^2+14x=0

a = -12; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·(-12)·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*-12}=\frac{-28}{-24}
=1+1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*-12}=\frac{0}{-24}
=0
$