7c=15c^2

Solution for 7c=15c^2 equation:

7c=15c^2

We move all terms to the left:

7c-(15c^2)=0

determiningTheFunctionDomain
-15c^2+7c=0

a = -15; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·(-15)·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*-15}=\frac{-14}{-30}
=7/15
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*-15}=\frac{0}{-30}
=0
$