6x^2-x=-5x

Solution for 6x^2-x=-5x equation:

6x^2-x=-5x

We move all terms to the left:

6x^2-x-(-5x)=0

We add all the numbers together, and all the variables

6x^2-1x-(-5x)=0

We get rid of parentheses

6x^2-1x+5x=0

We add all the numbers together, and all the variables

6x^2+4x=0

a = 6; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·6·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*6}=\frac{-8}{12}
=-2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*6}=\frac{0}{12}
=0
$