9x(2)+6x=24

Solution for 9x(2)+6x=24 equation:

9x(2)+6x=24

We move all terms to the left:

9x(2)+6x-(24)=0

We add all the numbers together, and all the variables

9x^2+6x-24=0

a = 9; b = 6; c = -24;
Δ = b2-4ac
Δ = 62-4·9·(-24)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-30}{2*9}=\frac{-36}{18}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+30}{2*9}=\frac{24}{18}
=1+1/3
$