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

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

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

We move all terms to the left:

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

-3x^2-6x=0

a = -3; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·(-3)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*-3}=\frac{0}{-6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*-3}=\frac{12}{-6}
=-2
$