11x+12x^2-70=180

Solution for 11x+12x^2-70=180 equation:

11x+12x^2-70=180

We move all terms to the left:

11x+12x^2-70-(180)=0

We add all the numbers together, and all the variables

12x^2+11x-250=0

a = 12; b = 11; c = -250;
Δ = b2-4ac
Δ = 112-4·12·(-250)
Δ = 12121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-\sqrt{12121}}{2*12}=\frac{-11-\sqrt{12121}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{12121}}{2*12}=\frac{-11+\sqrt{12121}}{24}
$