-3x^2-7x=-11

Solution for -3x^2-7x=-11 equation:

-3x^2-7x=-11

We move all terms to the left:

-3x^2-7x-(-11)=0

We add all the numbers together, and all the variables

-3x^2-7x+11=0

a = -3; b = -7; c = +11;
Δ = b2-4ac
Δ = -72-4·(-3)·11
Δ = 181
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{181}}{2*-3}=\frac{7-\sqrt{181}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{181}}{2*-3}=\frac{7+\sqrt{181}}{-6}
$