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(4x-1)(5x+2)=0
We multiply parentheses ..
(+20x^2+8x-5x-2)=0
We get rid of parentheses
20x^2+8x-5x-2=0
We add all the numbers together, and all the variables
20x^2+3x-2=0
a = 20; b = 3; c = -2;
Δ = b2-4ac
Δ = 32-4·20·(-2)
Δ = 169
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{169}=13$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-13}{2*20}=\frac{-16}{40} =-2/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+13}{2*20}=\frac{10}{40} =1/4 $
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