5x^2-1152-8x=0

Solution for 5x^2-1152-8x=0 equation:

5x^2-1152-8x=0

a = 5; b = -8; c = -1152;
Δ = b2-4ac
Δ = -82-4·5·(-1152)
Δ = 23104
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23104}=152$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-152}{2*5}=\frac{-144}{10}
=-14+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+152}{2*5}=\frac{160}{10}
=16
$