9x2+12x=32

Solution for 9x2+12x=32 equation:

9x^2+12x=32

We move all terms to the left:

9x^2+12x-(32)=0

a = 9; b = 12; c = -32;
Δ = b2-4ac
Δ = 122-4·9·(-32)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-36}{2*9}=\frac{-48}{18}
=-2+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+36}{2*9}=\frac{24}{18}
=1+1/3
$