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x(2x+1)=80
We move all terms to the left:
x(2x+1)-(80)=0
We multiply parentheses
2x^2+x-80=0
a = 2; b = 1; c = -80;
Δ = b2-4ac
Δ = 12-4·2·(-80)
Δ = 641
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{-(1)-\sqrt{641}}{2*2}=\frac{-1-\sqrt{641}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{641}}{2*2}=\frac{-1+\sqrt{641}}{4} $
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