-6x2-6=-7x-9

Solution for -6x2-6=-7x-9 equation:

-6x^2-6=-7x-9

We move all terms to the left:

-6x^2-6-(-7x-9)=0

We get rid of parentheses

-6x^2+7x+9-6=0

We add all the numbers together, and all the variables

-6x^2+7x+3=0

a = -6; b = 7; c = +3;
Δ = b2-4ac
Δ = 72-4·(-6)·3
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-11}{2*-6}=\frac{-18}{-12}
=1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+11}{2*-6}=\frac{4}{-12}
=-1/3
$