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12/3=44x^2=8
We move all terms to the left:
12/3-(44x^2)=0
We add all the numbers together, and all the variables
-44x^2+4=0
a = -44; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-44)·4
Δ = 704
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{704}=\sqrt{64*11}=\sqrt{64}*\sqrt{11}=8\sqrt{11}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{11}}{2*-44}=\frac{0-8\sqrt{11}}{-88} =-\frac{8\sqrt{11}}{-88} =-\frac{\sqrt{11}}{-11} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{11}}{2*-44}=\frac{0+8\sqrt{11}}{-88} =\frac{8\sqrt{11}}{-88} =\frac{\sqrt{11}}{-11} $
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