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7-1/2c=1/4c=-7
We move all terms to the left:
7-1/2c-(1/4c)=0
Domain of the equation: 2c!=0
c!=0/2
c!=0
c∈R
Domain of the equation: 4c)!=0We add all the numbers together, and all the variables
c!=0/1
c!=0
c∈R
-1/2c-(+1/4c)+7=0
We get rid of parentheses
-1/2c-1/4c+7=0
We calculate fractions
(-4c)/8c^2+(-2c)/8c^2+7=0
We multiply all the terms by the denominator
(-4c)+(-2c)+7*8c^2=0
Wy multiply elements
56c^2+(-4c)+(-2c)=0
We get rid of parentheses
56c^2-4c-2c=0
We add all the numbers together, and all the variables
56c^2-6c=0
a = 56; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·56·0
Δ = 36
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{36}=6$$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*56}=\frac{0}{112} =0 $$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*56}=\frac{12}{112} =3/28 $
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