4x^2-11x-26=-6

Solution for 4x^2-11x-26=-6 equation:

4x^2-11x-26=-6

We move all terms to the left:

4x^2-11x-26-(-6)=0

We add all the numbers together, and all the variables

4x^2-11x-20=0

a = 4; b = -11; c = -20;
Δ = b2-4ac
Δ = -112-4·4·(-20)
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-21}{2*4}=\frac{-10}{8}
=-1+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+21}{2*4}=\frac{32}{8}
=4
$