-20x^2-7x=-6

Solution for -20x^2-7x=-6 equation:

-20x^2-7x=-6

We move all terms to the left:

-20x^2-7x-(-6)=0

We add all the numbers together, and all the variables

-20x^2-7x+6=0

a = -20; b = -7; c = +6;
Δ = b2-4ac
Δ = -72-4·(-20)·6
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{529}=23$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-23}{2*-20}=\frac{-16}{-40}
=2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+23}{2*-20}=\frac{30}{-40}
=-3/4
$