-11+2x=-7x-2x^2

Solution for -11+2x=-7x-2x^2 equation:

-11+2x=-7x-2x^2

We move all terms to the left:

-11+2x-(-7x-2x^2)=0

We get rid of parentheses

2x^2+7x+2x-11=0

We add all the numbers together, and all the variables

2x^2+9x-11=0

a = 2; b = 9; c = -11;
Δ = b2-4ac
Δ = 92-4·2·(-11)
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-13}{2*2}=\frac{-22}{4}
=-5+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+13}{2*2}=\frac{4}{4}
=1
$