11x+15x=2x^2

Solution for 11x+15x=2x^2 equation:

11x+15x=2x^2

We move all terms to the left:

11x+15x-(2x^2)=0

determiningTheFunctionDomain
-2x^2+11x+15x=0

We add all the numbers together, and all the variables

-2x^2+26x=0

a = -2; b = 26; c = 0;
Δ = b2-4ac
Δ = 262-4·(-2)·0
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-26}{2*-2}=\frac{-52}{-4}
=+13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+26}{2*-2}=\frac{0}{-4}
=0
$