-5x^2-11x=-7

Solution for -5x^2-11x=-7 equation:

-5x^2-11x=-7

We move all terms to the left:

-5x^2-11x-(-7)=0

We add all the numbers together, and all the variables

-5x^2-11x+7=0

a = -5; b = -11; c = +7;
Δ = b2-4ac
Δ = -112-4·(-5)·7
Δ = 261
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:

$\sqrt{\Delta}=\sqrt{261}=\sqrt{9*29}=\sqrt{9}*\sqrt{29}=3\sqrt{29}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-3\sqrt{29}}{2*-5}=\frac{11-3\sqrt{29}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+3\sqrt{29}}{2*-5}=\frac{11+3\sqrt{29}}{-10}
$