9c(c-6)=63

Solution for 9c(c-6)=63 equation:

9c(c-6)=63

We move all terms to the left:

9c(c-6)-(63)=0

We multiply parentheses

9c^2-54c-63=0

a = 9; b = -54; c = -63;
Δ = b2-4ac
Δ = -542-4·9·(-63)
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-72}{2*9}=\frac{-18}{18}
=-1
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+72}{2*9}=\frac{126}{18}
=7
$