10x^2+11x-6=-11x

Solution for 10x^2+11x-6=-11x equation:

10x^2+11x-6=-11x

We move all terms to the left:

10x^2+11x-6-(-11x)=0

We get rid of parentheses

10x^2+11x+11x-6=0

We add all the numbers together, and all the variables

10x^2+22x-6=0

a = 10; b = 22; c = -6;
Δ = b2-4ac
Δ = 222-4·10·(-6)
Δ = 724
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{724}=\sqrt{4*181}=\sqrt{4}*\sqrt{181}=2\sqrt{181}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-2\sqrt{181}}{2*10}=\frac{-22-2\sqrt{181}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+2\sqrt{181}}{2*10}=\frac{-22+2\sqrt{181}}{20}
$