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(3x-5)(5x-3)=0
We multiply parentheses ..
(+15x^2-9x-25x+15)=0
We get rid of parentheses
15x^2-9x-25x+15=0
We add all the numbers together, and all the variables
15x^2-34x+15=0
a = 15; b = -34; c = +15;
Δ = b2-4ac
Δ = -342-4·15·15
Δ = 256
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{256}=16$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-16}{2*15}=\frac{18}{30} =3/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+16}{2*15}=\frac{50}{30} =1+2/3 $
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