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6x(11x+10)=0
We multiply parentheses
66x^2+60x=0
a = 66; b = 60; c = 0;
Δ = b2-4ac
Δ = 602-4·66·0
Δ = 3600
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{3600}=60$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-60}{2*66}=\frac{-120}{132} =-10/11 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+60}{2*66}=\frac{0}{132} =0 $
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