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(5x+1)(9x)=0
We multiply parentheses
45x^2+9x=0
a = 45; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·45·0
Δ = 81
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{81}=9$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*45}=\frac{-18}{90} =-1/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*45}=\frac{0}{90} =0 $
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