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6w(9w-7)=0
We multiply parentheses
54w^2-42w=0
a = 54; b = -42; c = 0;
Δ = b2-4ac
Δ = -422-4·54·0
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1764}=42$$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-42)-42}{2*54}=\frac{0}{108} =0 $$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-42)+42}{2*54}=\frac{84}{108} =7/9 $
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