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(8x-5)(4x-1)=0
We multiply parentheses ..
(+32x^2-8x-20x+5)=0
We get rid of parentheses
32x^2-8x-20x+5=0
We add all the numbers together, and all the variables
32x^2-28x+5=0
a = 32; b = -28; c = +5;
Δ = b2-4ac
Δ = -282-4·32·5
Δ = 144
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{144}=12$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-12}{2*32}=\frac{16}{64} =1/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+12}{2*32}=\frac{40}{64} =5/8 $
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