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-6x^2+96x+0=0
We add all the numbers together, and all the variables
-6x^2+96x=0
a = -6; b = 96; c = 0;
Δ = b2-4ac
Δ = 962-4·(-6)·0
Δ = 9216
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{9216}=96$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(96)-96}{2*-6}=\frac{-192}{-12} =+16 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(96)+96}{2*-6}=\frac{0}{-12} =0 $
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