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-5x(5x+2)-x+2=-86
We move all terms to the left:
-5x(5x+2)-x+2-(-86)=0
We add all the numbers together, and all the variables
-1x-5x(5x+2)+88=0
We multiply parentheses
-25x^2-1x-10x+88=0
We add all the numbers together, and all the variables
-25x^2-11x+88=0
a = -25; b = -11; c = +88;
Δ = b2-4ac
Δ = -112-4·(-25)·88
Δ = 8921
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{-(-11)-\sqrt{8921}}{2*-25}=\frac{11-\sqrt{8921}}{-50} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{8921}}{2*-25}=\frac{11+\sqrt{8921}}{-50} $
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