10(2)+7.5(2)=c(2)

Solution for 10(2)+7.5(2)=c(2) equation:

10(2)+7.5(2)=c(2)

We move all terms to the left:

10(2)+7.5(2)-(c(2))=0

determiningTheFunctionDomain
-c2+102+7.52=0

We add all the numbers together, and all the variables

-1c^2+109.52=0

a = -1; b = 0; c = +109.52;
Δ = b2-4ac
Δ = 02-4·(-1)·109.52
Δ = 438.08
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{-(0)-\sqrt{438.08}}{2*-1}=\frac{0-\sqrt{438.08}}{-2}
=-\frac{\sqrt{}}{-2}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{438.08}}{2*-1}=\frac{0+\sqrt{438.08}}{-2}
=\frac{\sqrt{}}{-2}
$