17x^2-11x-2=2x^2

Solution for 17x^2-11x-2=2x^2 equation:

17x^2-11x-2=2x^2

We move all terms to the left:

17x^2-11x-2-(2x^2)=0

determiningTheFunctionDomain
17x^2-2x^2-11x-2=0

We add all the numbers together, and all the variables

15x^2-11x-2=0

a = 15; b = -11; c = -2;
Δ = b2-4ac
Δ = -112-4·15·(-2)
Δ = 241
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{241}}{2*15}=\frac{11-\sqrt{241}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{241}}{2*15}=\frac{11+\sqrt{241}}{30}
$