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/F=5F+7
We move all terms to the left:
/F-(5F+7)=0
Domain of the equation: F!=0We get rid of parentheses
F∈R
/F-5F-7=0
We multiply all the terms by the denominator
-5F*F-7*F+=0
We add all the numbers together, and all the variables
-7F-5F*F=0
Wy multiply elements
-5F^2-7F=0
a = -5; b = -7; c = 0;
Δ = b2-4ac
Δ = -72-4·(-5)·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{49}=7$$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-7}{2*-5}=\frac{0}{-10} =0 $$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+7}{2*-5}=\frac{14}{-10} =-1+2/5 $
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