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5x(x-3.7)=0
We multiply parentheses
5x^2-18.5x=0
a = 5; b = -18.5; c = 0;
Δ = b2-4ac
Δ = -18.52-4·5·0
Δ = 342.25
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{-(-18.5)-\sqrt{342.25}}{2*5}=\frac{18.5-\sqrt{342.25}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18.5)+\sqrt{342.25}}{2*5}=\frac{18.5+\sqrt{342.25}}{10} $
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