7x(-4x-11)=23

Solution for 7x(-4x-11)=23 equation:

7x(-4x-11)=23

We move all terms to the left:

7x(-4x-11)-(23)=0

We multiply parentheses

-28x^2-77x-23=0

a = -28; b = -77; c = -23;
Δ = b2-4ac
Δ = -772-4·(-28)·(-23)
Δ = 3353
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{-(-77)-\sqrt{3353}}{2*-28}=\frac{77-\sqrt{3353}}{-56}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-77)+\sqrt{3353}}{2*-28}=\frac{77+\sqrt{3353}}{-56}
$