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6x(12=8)/552x^2
We move all terms to the left:
6x(12-(8)/552x^2)=0
Domain of the equation: 552x^2)!=0We multiply parentheses
x!=0/1
x!=0
x∈R
-48x^2+72x=0
a = -48; b = 72; c = 0;
Δ = b2-4ac
Δ = 722-4·(-48)·0
Δ = 5184
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{5184}=72$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(72)-72}{2*-48}=\frac{-144}{-96} =1+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(72)+72}{2*-48}=\frac{0}{-96} =0 $
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