c^2-25c=56

Solution for c^2-25c=56 equation:

c^2-25c=56

We move all terms to the left:

c^2-25c-(56)=0

a = 1; b = -25; c = -56;
Δ = b2-4ac
Δ = -252-4·1·(-56)
Δ = 849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-\sqrt{849}}{2*1}=\frac{25-\sqrt{849}}{2}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+\sqrt{849}}{2*1}=\frac{25+\sqrt{849}}{2}
$