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5x(x+36)=0
We multiply parentheses
5x^2+180x=0
a = 5; b = 180; c = 0;
Δ = b2-4ac
Δ = 1802-4·5·0
Δ = 32400
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{32400}=180$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(180)-180}{2*5}=\frac{-360}{10} =-36 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(180)+180}{2*5}=\frac{0}{10} =0 $
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