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-5x(1-5x)+5(-8x-2)=-4x-8x
We move all terms to the left:
-5x(1-5x)+5(-8x-2)-(-4x-8x)=0
We add all the numbers together, and all the variables
-5x(-5x+1)+5(-8x-2)-(-12x)=0
We multiply parentheses
25x^2-5x-40x-(-12x)-10=0
We get rid of parentheses
25x^2-5x-40x+12x-10=0
We add all the numbers together, and all the variables
25x^2-33x-10=0
a = 25; b = -33; c = -10;
Δ = b2-4ac
Δ = -332-4·25·(-10)
Δ = 2089
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33)-\sqrt{2089}}{2*25}=\frac{33-\sqrt{2089}}{50} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+\sqrt{2089}}{2*25}=\frac{33+\sqrt{2089}}{50} $
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