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-12x^2-24x+6x=0
We add all the numbers together, and all the variables
-12x^2-18x=0
a = -12; b = -18; c = 0;
Δ = b2-4ac
Δ = -182-4·(-12)·0
Δ = 324
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{324}=18$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-18}{2*-12}=\frac{0}{-24} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+18}{2*-12}=\frac{36}{-24} =-1+1/2 $
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