25x+11=-6x2

Solution for 25x+11=-6x2 equation:

25x+11=-6x^2

We move all terms to the left:

25x+11-(-6x^2)=0

We get rid of parentheses

6x^2+25x+11=0

a = 6; b = 25; c = +11;
Δ = b2-4ac
Δ = 252-4·6·11
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-19}{2*6}=\frac{-44}{12}
=-3+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+19}{2*6}=\frac{-6}{12}
=-1/2
$