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(4x-1)(3-5x)=0
We add all the numbers together, and all the variables
(4x-1)(-5x+3)=0
We multiply parentheses ..
(-20x^2+12x+5x-3)=0
We get rid of parentheses
-20x^2+12x+5x-3=0
We add all the numbers together, and all the variables
-20x^2+17x-3=0
a = -20; b = 17; c = -3;
Δ = b2-4ac
Δ = 172-4·(-20)·(-3)
Δ = 49
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{49}=7$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-7}{2*-20}=\frac{-24}{-40} =3/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+7}{2*-20}=\frac{-10}{-40} =1/4 $
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