8x^2-91x+188=-3x-4

Solution for 8x^2-91x+188=-3x-4 equation:

8x^2-91x+188=-3x-4

We move all terms to the left:

8x^2-91x+188-(-3x-4)=0

We get rid of parentheses

8x^2-91x+3x+4+188=0

We add all the numbers together, and all the variables

8x^2-88x+192=0

a = 8; b = -88; c = +192;
Δ = b2-4ac
Δ = -882-4·8·192
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-40}{2*8}=\frac{48}{16}
=3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+40}{2*8}=\frac{128}{16}
=8
$