3/4c-1/1c+3=7

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Solution for 3/4c-1/1c+3=7 equation:



3/4c-1/1c+3=7
We move all terms to the left:
3/4c-1/1c+3-(7)=0
Domain of the equation: 4c!=0
c!=0/4
c!=0
c∈R
Domain of the equation: 1c!=0
c∈R
We add all the numbers together, and all the variables
3/4c-1/1c-4=0
We calculate fractions
3c/4c^2+(-4c)/4c^2-4=0
We multiply all the terms by the denominator
3c+(-4c)-4*4c^2=0
Wy multiply elements
-16c^2+3c+(-4c)=0
We get rid of parentheses
-16c^2+3c-4c=0
We add all the numbers together, and all the variables
-16c^2-1c=0
a = -16; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-16)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-16}=\frac{0}{-32} =0 $
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-16}=\frac{2}{-32} =-1/16 $

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