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5x(x-1)-(1-x)=0
We add all the numbers together, and all the variables
5x(x-1)-(-1x+1)=0
We multiply parentheses
5x^2-5x-(-1x+1)=0
We get rid of parentheses
5x^2-5x+1x-1=0
We add all the numbers together, and all the variables
5x^2-4x-1=0
a = 5; b = -4; c = -1;
Δ = b2-4ac
Δ = -42-4·5·(-1)
Δ = 36
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{36}=6$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-6}{2*5}=\frac{-2}{10} =-1/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+6}{2*5}=\frac{10}{10} =1 $
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