9x*x+24x-1008=0

Solution for 9x*x+24x-1008=0 equation:

9x*x+24x-1008=0

We add all the numbers together, and all the variables

24x+9x*x-1008=0

Wy multiply elements

9x^2+24x-1008=0

a = 9; b = 24; c = -1008;
Δ = b2-4ac
Δ = 242-4·9·(-1008)
Δ = 36864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36864}=192$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-192}{2*9}=\frac{-216}{18}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+192}{2*9}=\frac{168}{18}
=9+1/3
$