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(17x+8)(10x+57)=360
We move all terms to the left:
(17x+8)(10x+57)-(360)=0
We multiply parentheses ..
(+170x^2+969x+80x+456)-360=0
We get rid of parentheses
170x^2+969x+80x+456-360=0
We add all the numbers together, and all the variables
170x^2+1049x+96=0
a = 170; b = 1049; c = +96;
Δ = b2-4ac
Δ = 10492-4·170·96
Δ = 1035121
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{-(1049)-\sqrt{1035121}}{2*170}=\frac{-1049-\sqrt{1035121}}{340} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1049)+\sqrt{1035121}}{2*170}=\frac{-1049+\sqrt{1035121}}{340} $
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