15x2=x+215x2=x+2

Solution for 15x2=x+215x2=x+2 equation:

15x^2=x+215x^2=x+2

We move all terms to the left:

15x^2-(x+215x^2)=0

We get rid of parentheses

15x^2-215x^2-x=0

We add all the numbers together, and all the variables

-200x^2-1x=0

a = -200; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-200)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-200}=\frac{0}{-400}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-200}=\frac{2}{-400}
=-1/200
$