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-6x(3x-12)=0
We multiply parentheses
-18x^2+72x=0
a = -18; b = 72; c = 0;
Δ = b2-4ac
Δ = 722-4·(-18)·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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(72)-72}{2*-18}=\frac{-144}{-36} =+4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(72)+72}{2*-18}=\frac{0}{-36} =0 $
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