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(15x-7)14x=180
We move all terms to the left:
(15x-7)14x-(180)=0
We multiply parentheses
210x^2-98x-180=0
a = 210; b = -98; c = -180;
Δ = b2-4ac
Δ = -982-4·210·(-180)
Δ = 160804
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{160804}=\sqrt{4*40201}=\sqrt{4}*\sqrt{40201}=2\sqrt{40201}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-98)-2\sqrt{40201}}{2*210}=\frac{98-2\sqrt{40201}}{420} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-98)+2\sqrt{40201}}{2*210}=\frac{98+2\sqrt{40201}}{420} $
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