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0.05(x+4)(x-1)=0
We multiply parentheses ..
0.05(+x^2-1x+4x-4)=0
We multiply parentheses
0.05x^2-0.05x+0.2x-0.2=0
We add all the numbers together, and all the variables
0.05x^2+0.15x-0.2=0
a = 0.05; b = 0.15; c = -0.2;
Δ = b2-4ac
Δ = 0.152-4·0.05·(-0.2)
Δ = 0.0625
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{-(0.15)-\sqrt{0.0625}}{2*0.05}=\frac{-0.15-\sqrt{0.0625}}{0.1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.15)+\sqrt{0.0625}}{2*0.05}=\frac{-0.15+\sqrt{0.0625}}{0.1} $
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