72(3x-13)(4x+11)=0

Solution for 72(3x-13)(4x+11)=0 equation:

72(3x-13)(4x+11)=0

We multiply parentheses ..

72(+12x^2+33x-52x-143)=0

We multiply parentheses

864x^2+2376x-3744x-10296=0

We add all the numbers together, and all the variables

864x^2-1368x-10296=0

a = 864; b = -1368; c = -10296;
Δ = b2-4ac
Δ = -13682-4·864·(-10296)
Δ = 37454400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{37454400}=6120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1368)-6120}{2*864}=\frac{-4752}{1728}
=-2+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1368)+6120}{2*864}=\frac{7488}{1728}
=4+1/3
$