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12(3/4)x=9
We move all terms to the left:
12(3/4)x-(9)=0
Domain of the equation: 4)x!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
12(+3/4)x-9=0
We multiply parentheses
36x^2-9=0
a = 36; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·36·(-9)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1296}=36$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-36}{2*36}=\frac{-36}{72} =-1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+36}{2*36}=\frac{36}{72} =1/2 $
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