12x-9+5x2=180

Solution for 12x-9+5x2=180 equation:

12x-9+5x^2=180

We move all terms to the left:

12x-9+5x^2-(180)=0

We add all the numbers together, and all the variables

5x^2+12x-189=0

a = 5; b = 12; c = -189;
Δ = b2-4ac
Δ = 122-4·5·(-189)
Δ = 3924
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3924}=\sqrt{36*109}=\sqrt{36}*\sqrt{109}=6\sqrt{109}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-6\sqrt{109}}{2*5}=\frac{-12-6\sqrt{109}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+6\sqrt{109}}{2*5}=\frac{-12+6\sqrt{109}}{10}
$