x2-5x=2x2+x

Solution for x2-5x=2x2+x equation:

x2-5x=2x^2+x

We move all terms to the left:

x2-5x-(2x^2+x)=0

We add all the numbers together, and all the variables

x^2-5x-(2x^2+x)=0

We get rid of parentheses

x^2-2x^2-5x-x=0

We add all the numbers together, and all the variables

-1x^2-6x=0

a = -1; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·(-1)·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*-1}=\frac{0}{-2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*-1}=\frac{12}{-2}
=-6
$