6x^2-11^2+25x=-56

Solution for 6x^2-11^2+25x=-56 equation:

6x^2-11^2+25x=-56

We move all terms to the left:

6x^2-11^2+25x-(-56)=0

We add all the numbers together, and all the variables

6x^2+25x-65=0

a = 6; b = 25; c = -65;
Δ = b2-4ac
Δ = 252-4·6·(-65)
Δ = 2185
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-\sqrt{2185}}{2*6}=\frac{-25-\sqrt{2185}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+\sqrt{2185}}{2*6}=\frac{-25+\sqrt{2185}}{12}
$