c ( x ) = \frac { 3,5 x + 12 } { 6,5 x }
Solve for c
c=\frac{7x+24}{13x^{2}}
x\neq 0
Solve for x
\left\{\begin{matrix}\\x=-\frac{24}{7}\text{, }&\text{unconditionally}\\x=\frac{\sqrt{1248c+49}+7}{26c}\text{; }x=\frac{-\sqrt{1248c+49}+7}{26c}\text{, }&c\neq 0\text{ and }c\geq -\frac{49}{1248}\end{matrix}\right.
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xc=\frac{2\left(\frac{7x}{2}+12\right)}{13x}
The equation is in standard form.
\frac{xc}{x}=\frac{\frac{7}{13}+\frac{24}{13x}}{x}
Divide both sides by x.
c=\frac{\frac{7}{13}+\frac{24}{13x}}{x}
Dividing by x undoes the multiplication by x.
c=\frac{7x+24}{13x^{2}}
Divide \frac{24}{13x}+\frac{7}{13} by x.
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