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66.66(6x-1)(3x+2)=-1.33
We move all terms to the left:
66.66(6x-1)(3x+2)-(-1.33)=0
We add all the numbers together, and all the variables
66.66(6x-1)(3x+2)+1.33=0
We multiply parentheses ..
66.66(+18x^2+12x-3x-2)+1.33=0
We multiply parentheses
1199.88x^2+799.92x-199.98x-133.32+1.33=0
We add all the numbers together, and all the variables
1199.88x^2+599.94x-131.99=0
a = 1199.88; b = 599.94; c = -131.99;
Δ = b2-4ac
Δ = 599.942-4·1199.88·(-131.99)
Δ = 993416.6484
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(599.94)-\sqrt{993416.6484}}{2*1199.88}=\frac{-599.94-\sqrt{993416.6484}}{2399.76} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(599.94)+\sqrt{993416.6484}}{2*1199.88}=\frac{-599.94+\sqrt{993416.6484}}{2399.76} $
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