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-(0.006x^2-0.18x+0.0195)=0
We get rid of parentheses
-0.006x^2+0.18x-0.0195=0
a = -0.006; b = 0.18; c = -0.0195;
Δ = b2-4ac
Δ = 0.182-4·(-0.006)·(-0.0195)
Δ = 0.031932
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{-(0.18)-\sqrt{0.031932}}{2*-0.006}=\frac{-0.18-\sqrt{0.031932}}{-0.012} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.18)+\sqrt{0.031932}}{2*-0.006}=\frac{-0.18+\sqrt{0.031932}}{-0.012} $
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