5x2-56=-33x

Solution for 5x2-56=-33x equation:

5x^2-56=-33x

We move all terms to the left:

5x^2-56-(-33x)=0

We get rid of parentheses

5x^2+33x-56=0

a = 5; b = 33; c = -56;
Δ = b2-4ac
Δ = 332-4·5·(-56)
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-47}{2*5}=\frac{-80}{10}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+47}{2*5}=\frac{14}{10}
=1+2/5
$