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(-17x-1)(-10x-17)=-32x+1
We move all terms to the left:
(-17x-1)(-10x-17)-(-32x+1)=0
We get rid of parentheses
(-17x-1)(-10x-17)+32x-1=0
We multiply parentheses ..
(+170x^2+289x+10x+17)+32x-1=0
We get rid of parentheses
170x^2+289x+10x+32x+17-1=0
We add all the numbers together, and all the variables
170x^2+331x+16=0
a = 170; b = 331; c = +16;
Δ = b2-4ac
Δ = 3312-4·170·16
Δ = 98681
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{-(331)-\sqrt{98681}}{2*170}=\frac{-331-\sqrt{98681}}{340} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(331)+\sqrt{98681}}{2*170}=\frac{-331+\sqrt{98681}}{340} $
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