5c^2+5c=36

Solution for 5c^2+5c=36 equation:

5c^2+5c=36

We move all terms to the left:

5c^2+5c-(36)=0

a = 5; b = 5; c = -36;
Δ = b2-4ac
Δ = 52-4·5·(-36)
Δ = 745
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{-(5)-\sqrt{745}}{2*5}=\frac{-5-\sqrt{745}}{10}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{745}}{2*5}=\frac{-5+\sqrt{745}}{10}
$