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(3/4)x=27/64
We move all terms to the left:
(3/4)x-(27/64)=0
Domain of the equation: 4)x!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
(+3/4)x-(+27/64)=0
We multiply parentheses
3x^2-(+27/64)=0
We get rid of parentheses
3x^2-27/64=0
We multiply all the terms by the denominator
3x^2*64-27=0
Wy multiply elements
192x^2-27=0
a = 192; b = 0; c = -27;
Δ = b2-4ac
Δ = 02-4·192·(-27)
Δ = 20736
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{20736}=144$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*192}=\frac{-144}{384} =-3/8 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*192}=\frac{144}{384} =3/8 $
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